Understanding GCF through Prime Factorization

This lesson demonstrates how to find the greatest common factor (GCF) of 60 and 315 using the prime factorization method. It begins by breaking down 60 into its prime factors: 2, 2, 3, and 5. Then, it breaks down 315 into its prime factors: 3, 3, 5, and 7. The common prime factors between the two numbers are identified as 3 and 5. By multiplying these common factors, the GCF is determined to be 15.

What is the purpose of using the prime factorization method in this lesson?

• To calculate the sum of two numbers

• To identify even numbers

• To determine the greatest common factor

• To find the least common multiple

Which of the following is a prime factor of 60?

• 10

• 2

• 6

• 4

What is the prime factorization of 60?

• 2 * 3 * 5

• 2 * 2 * 3 * 5

• 2 * 5 * 7

• 3 * 3 * 5

Which number is a prime factor of 315?

• 12

• 5

• 8

• 10

What is the greatest common factor of 60 and 315?

• 20

• 15

• 10

• 25