What is the GCF of 72 90 and 144?

Answer 1

To find the greatest common factor (GCF) of 72, 90, and 144, we first need to find the prime factorization of each number. The prime factorization of 72 is 2^3 * 3^2, the prime factorization of 90 is 2 * 3^2 * 5, and the prime factorization of 144 is 2^4 * 3^2. The GCF is the product of the common prime factors raised to the smallest exponent they appear in any of the numbers, which in this case is 2^3 * 3^2, equal to 72.

Answer 2

The factors of 72 are:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The factors of 90 are:

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The factors of 144 are:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The common factors are:

1, 2, 3, 6, 9, 18

The Greatest Common Factor (GCF) is:

18