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Greatest common factor (GGF) Grade 5 Factoring Workaheet ! Find the greatest commen factor of the two numbers ahown 1. 451 \( \qquad \) 10 \( \qquad \) \( 1,2,3,10 \)

Ask by Lawson Watson. in the United States
Feb 13,2025

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The greatest common factor (GCF) of 451 and 10 is **1**.

Solución

To find the greatest common factor (GCF) of the two numbers 451 and 10, we can follow these steps: 1. **List the factors of each number.** - Factors of 451: Since 451 is a prime number, its only factors are 1 and 451. - Factors of 10: The factors of 10 are 1, 2, 5, and 10. 2. **Identify the common factors.** - The common factors of 451 and 10 are: 1. 3. **Determine the greatest common factor.** - The greatest common factor is the largest number in the list of common factors. In this case, the GCF is 1. Thus, the greatest common factor (GCF) of 451 and 10 is **1**.

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Extra Insights

Did you know that the concept of factors dates back to ancient civilizations? The Greeks were among the first to study number theory, and they understood that breaking down numbers into their components could lead to improved arithmetic and geometry. This foundational work paved the way for modern mathematics, helping us understand how to find things like the greatest common factor (GCF). In real-world situations, finding the GCF can be super useful! For example, if you're planning a party and want to divide snacks evenly between your friends, knowing the GCF can help you figure out the largest possible group size without anyone getting shortchanged. So, in this case, let’s see how you can use those skills to ensure everyone gets a fair share of chips!

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