Question

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Make a list to find the GCF of each set of numbers.
1. 14, 35
2. 24, 45
3. 25, 32

Answer 1

It isn't clear what "make a list" means in this context. It is customary to find the GCF in any of several ways, only a couple of which involve making lists. Here, we will list the prime factors, then form the product of the common ones. (Here, each pair of numbers has only one common factor.)

1. 14 = 2·7, 35 = 5·7. GCF(14, 35) = 7

2. 24 = 2³·3, 45 = 3²·5. GCF(24, 45) = 3

3. 25 = 5², 32 = 2⁵. GCF(25, 32) = 1

Answer 2

Answer:

1. factors of 14 are = 1, 2, 7, 14...

  factors of 35 are = 1, 5, 7, 35...

therefore, the greatest common factor is going to be 7.

2. factors of 24 are = 1, 2, 3, 4, 6, 8, 12, 24...

   factors of 45 are = 1, 3, 5, 9, 15, 45...

Therefore, the greatest common factor is 3.

3. factors of 25 are = 1, 5, 25

  factors of 32 are = 1, 2, 4, 8, 16, 32

Therefore, the greatest common factor is 1.

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