Greatest Common Factor Directions: Find the GCF of exch of the fotiowng pars en murneters 1) $$ 12 \quad 24 $$ 2) $$ 20 \quad 28 $$ 3) $$ 21 \quad 2 e $$ 4) 924 5) 3243 6) $$ 65 \quad 13 $$ 7) $$ 15 \quad 20 $$ B) $$ 54 \quad 60 $$ 9) $$ 3 \quad 21 $$ (10) 4812 11) 4563 12) $$ 40 \quad 120 $$ 13) $$ 90 \quad 20 $$ 14) 2555 1511830 9 16) $$ 22 \quad 26 $$ 17) $$ 108 \quad 36 $$ 18) $$ 42 \quad 14 $$ 19) 628 20) 27 15 21) $$ 24 \quad 32 $$ 22) 5664 23) $$ 36 \quad 60 $$ $$ 1+ $$ 2 2 36 14 5 6 24

Question

UpStudy AI · Accepted Answer

Sure, I can help you find the Greatest Common Factor (GCF) for each of the given pairs of numbers. The GCF of two numbers is the largest number that divides both of them without leaving a remainder. Below are the calculations for each pair provided:

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### 1) **12 and 24**
**Factors of 12:** 1, 2, 3, 4, 6, 12  
**Factors of 24:** 1, 2, 3, 4, 6, 8, 12, 24  
**GCF:** **12**

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### 2) **20 and 28**
**Factors of 20:** 1, 2, 4, 5, 10, 20  
**Factors of 28:** 1, 2, 4, 7, 14, 28  
**GCF:** **4**

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### 3) **21 and 27** *(Assuming "2 e" was meant to be 27)*
**Factors of 21:** 1, 3, 7, 21  
**Factors of 27:** 1, 3, 9, 27  
**GCF:** **3**

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### 4) **924 and [Missing Pair]**
*It seems only one number is provided. Please provide the second number to determine the GCF.*

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### 5) **3243 and [Missing Pair]**
*It seems only one number is provided. Please provide the second number to determine the GCF.*

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### 6) **65 and 13**
**Factors of 65:** 1, 5, 13, 65  
**Factors of 13:** 1, 13  
**GCF:** **13**

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### 7) **15 and 20**
**Factors of 15:** 1, 3, 5, 15  
**Factors of 20:** 1, 2, 4, 5, 10, 20  
**GCF:** **5**

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### 8) **54 and 60** *(Listed as B)*
**Factors of 54:** 1, 2, 3, 6, 9, 18, 27, 54  
**Factors of 60:** 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60  
**GCF:** **6**

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### 9) **3 and 21**
**Factors of 3:** 1, 3  
**Factors of 21:** 1, 3, 7, 21  
**GCF:** **3**

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### 10) **4812 and [Missing Pair]**
*It seems only one number is provided. Please provide the second number to determine the GCF.*

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### 11) **4563 and [Missing Pair]**
*It seems only one number is provided. Please provide the second number to determine the GCF.*

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### 12) **40 and 120**
**Factors of 40:** 1, 2, 4, 5, 8, 10, 20, 40  
**Factors of 120:** 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120  
**GCF:** **40**

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### 13) **90 and 20**
**Factors of 90:** 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90  
**Factors of 20:** 1, 2, 4, 5, 10, 20  
**GCF:** **10**

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### 14) **2555 and [Missing Pair]**
*It seems only one number is provided. Please provide the second number to determine the GCF.*

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### 15) **1511830 and 9** *(Assuming this is question 15)*
**Factors of 1511830:** This number is large, so let's find the prime factors.
- 1511830 ÷ 2 = 755915
- 755915 ÷ 5 = 151183
- 151183 is a prime number.

**Factors of 9:** 1, 3, 9  
**Common Factors:** 1  
**GCF:** **1**

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### 16) **22 and 26**
**Factors of 22:** 1, 2, 11, 22  
**Factors of 26:** 1, 2, 13, 26  
**GCF:** **2**

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### 17) **108 and 36**
**Factors of 108:** 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108  
**Factors of 36:** 1, 2, 3, 4, 6, 9, 12, 18, 36  
**GCF:** **36**

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### 18) **42 and 14**
**Factors of 42:** 1, 2, 3, 6, 7, 14, 21, 42  
**Factors of 14:** 1, 2, 7, 14  
**GCF:** **14**

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### 19) **628 and [Missing Pair]**
*It seems only one number is provided. Please provide the second number to determine the GCF.*

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### 20) **27 and 15**
**Factors of 27:** 1, 3, 9, 27  
**Factors of 15:** 1, 3, 5, 15  
**GCF:** **3**

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### 21) **24 and 32**
**Factors of 24:** 1, 2, 3, 4, 6, 8, 12, 24  
**Factors of 32:** 1, 2, 4, 8, 16, 32  
**GCF:** **8**

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### 22) **5664 and [Missing Pair]**
*It seems only one number is provided. Please provide the second number to determine the GCF.*

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### 23) **36 and 60**
**Factors of 36:** 1, 2, 3, 4, 6, 9, 12, 18, 36  
**Factors of 60:** 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60  
**GCF:** **12**

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### 24) **[Unclear Entries]**
- **"1+ 2 2 36"**: It’s unclear what numbers are intended here.
- **"14"**: Single number provided.
- **"5 6"**: Possibly the pair 5 and 6.
  - **GCF of 5 and 6:** 1

- **"24"**: Single number provided.

*Please provide clear pairs for these entries to determine their GCFs.*

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### Summary of GCFs:
1. **12 & 24:** 12  
2. **20 & 28:** 4  
3. **21 & 27:** 3  
4. **924 & ?:** _Need second number_  
5. **3243 & ?:** _Need second number_  
6. **65 & 13:** 13  
7. **15 & 20:** 5  
8. **54 & 60:** 6  
9. **3 & 21:** 3  
10. **4812 & ?:** _Need second number_  
11. **4563 & ?:** _Need second number_  
12. **40 & 120:** 40  
13. **90 & 20:** 10  
14. **2555 & ?:** _Need second number_  
15. **1511830 & 9:** 1  
16. **22 & 26:** 2  
17. **108 & 36:** 36  
18. **42 & 14:** 14  
19. **628 & ?:** _Need second number_  
20. **27 & 15:** 3  
21. **24 & 32:** 8  
22. **5664 & ?:** _Need second number_  
23. **36 & 60:** 12  
24. **Various Unclear Entries**

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**Note:** For questions where only one number is provided or the pair is unclear, please supply the missing number or clarify the pair so that I can assist you further.
Here are the Greatest Common Factors (GCFs) for the provided pairs: 1. **12 and 24:** 12 2. **20 and 28:** 4 3. **21 and 27:** 3 4. **924 and ?:** Missing second number 5. **3243 and ?:** Missing second number 6. **65 and 13:** 13 7. **15 and 20:** 5 8. **54 and 60:** 6 9. **3 and 21:** 3 10. **4812 and ?:** Missing second number 11. **4563 and ?:** Missing second number 12. **40 and 120:** 40 13. **90 and 20:** 10 14. **2555 and ?:** Missing second number 15. **1511830 and 9:** 1 16. **22 and 26:** 2 17. **108 and 36:** 36 18. **42 and 14:** 14 19. **628 and ?:** Missing second number 20. **27 and 15:** 3 21. **24 and 32:** 8 22. **5664 and ?:** Missing second number 23. **36 and 60:** 12 24. **Various Unclear Entries:** Cannot determine GCF without complete pairs **Note:** For questions where only one number is provided or the pair is unclear, please supply the missing number or clarify the pair so that I can assist you further.

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