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64

32.2

16,2,2

8,2,2,2

4,2,2,2,2

2,2,2,2,2,2

125

25,5

5,5,5

Q: What is the factor tree for 64 and 125?

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125 / \ 5 25 / \ 5 5

125 5 x 25 5 x (5x5) Since 5 is a prime number, the factor tree is complete.

The GCF of 64 and 125 is 1One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.The factors of 64 are 1, 2, 4, 8, 16, 32, and 64.The factors of 125 are 1, 5, 25, and 125.The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime.

64 32,2 16,2,2 8,2,2,2 4,2,2,2,2 2,2,2,2,2,2

5*25 5*5*5

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125 25,5 5,5,5

125 25,5 5,5,5

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125 / \ 5 25 / \ 5 5

125 5,25 5,5,5

5,25 5,5,5

125 5 x 25 5 x (5x5) Since 5 is a prime number, the factor tree is complete.

Use a factor tree. 125 25,5 5,5,5

The GCF of 64 and 125 is 1One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.The factors of 64 are 1, 2, 4, 8, 16, 32, and 64.The factors of 125 are 1, 5, 25, and 125.The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime.

125 25,5 5,5,5

5,25 5,5,5