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Find the greatest common factor (GCF) of the following:

a) 18 and 24
b) 12 and 36
c) 32 and 96

Sagot :

GinnyAnsweridn
Sure! Let's find the Greatest Common Factor (GCF) of each pair by breaking it down step-by-step:

a.) Find the GCF of 18 and 24:

We list the factors of each number:
- Factors of 18: 1, 2, 3, 6, 9, 18
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Now, we identify the common factors:
- Common factors of 18 and 24: 1, 2, 3, and 6

The greatest common factor is the largest factor that both numbers share:
- GCF of 18 and 24 is 6

b.) Find the GCF of 12 and 36:

We list the factors of each number:
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Now, we identify the common factors:
- Common factors of 12 and 36: 1, 2, 3, 4, 6, and 12

The greatest common factor is the largest factor that both numbers share:
- GCF of 12 and 36 is 12

c.) Find the GCF of 32 and 96:

We list the factors of each number:
- Factors of 32: 1, 2, 4, 8, 16, 32
- Factors of 96: 1, 2, 4, 8, 12, 16, 24, 32, 48, 96

Now, we identify the common factors:
- Common factors of 32 and 96: 1, 2, 4, 8, 16, 32

The greatest common factor is the largest factor that both numbers share:
- GCF of 32 and 96 is 32

Thus, after finding the GCFs of each pair:
a.) The GCF of 18 and 24 is 6
b.) The GCF of 12 and 36 is 12
c.) The GCF of 32 and 96 is 32
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