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
