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Answer
The greatest common factor (GCF) of 18 and 20 is 2.
Solution
To find the common factors of 18 and 20, we can list the factors of each number and then identify the common ones.
Factors of 18:
1, 2, 3, 6, 9, 18
Factors of 20:
1, 2, 4, 5, 10, 20
The common factors of 18 and 20 are:
1, 2
The greatest common factor (GCF), which is the largest of the common factors, is 2.
So, the greatest common factor (GCF) of 18 and 20 is 2.
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Simplify this solution Bonus Knowledge
To find the greatest common factor (GCF) of 18 and 20, we can use the prime factorization method. The prime factors of 18 are 2 and 3 (2 × 3 × 3), while the prime factors of 20 are 2 and 5 (2 × 2 × 5). The only common prime factor here is 2, making the GCF of 18 and 20 equal to 2. This means whenever you're working with GCF, think of it as the ultimate "common friend" that two numbers share in their prime factor club! It's a handy tool in simplifying fractions or solving problems involving ratios.
