Any two numbers multiplied to equal
another number are factors of that number.
If two numbers share a factor, it is called a common factor.
First, find the factors for each number.
1 × 96 = 96 | | 2 × 48 = 96 | | 3 × 32 = 96 |
4 × 24 = 96 | | 6 × 16 = 96 | | 8 × 12 = 96 |
So, the factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.
1 × 24 = 24 | | 2 × 12 = 24 | | 3 × 8 = 24 | | 4 × 6 = 24 |
So, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
1 × 132 = 132 | | 2 × 66 = 132 | | 3 × 44 = 132 |
4 × 33 = 132 | | 6 × 22 = 132 | | 11 × 12 = 132 |
So, the factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, and 132.
Then, look for factors that all three numbers have.
All three numbers have 1, 2, 3, 4, 6, and 12 as factors.
So, 1, 2, 3, 4, 6, and 12 are common factors of 96, 24, and 132.