What is the Greatest Common Factor of 96129 and 96147?

Greatest common factor (GCF) of 96129 and 96147 is 9.

GCF(96129,96147) = 9

We will now calculate the prime factors of 96129 and 96147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96129 and 96147.

How to find the GCF of 96129 and 96147?

We will first find the prime factorization of 96129 and 96147. After we will calculate the factors of 96129 and 96147 and find the biggest common factor number .

Step-1: Prime Factorization of 96129

Prime factors of 96129 are 3, 11, 971. Prime factorization of 96129 in exponential form is:

96129 = 3² × 11¹ × 971¹

Step-2: Prime Factorization of 96147

Prime factors of 96147 are 3, 1187. Prime factorization of 96147 in exponential form is:

96147 = 3⁴ × 1187¹

Step-3: Factors of 96129

List of positive integer factors of 96129 that divides 96129 without a remainder.

1, 3, 9, 11, 33, 99, 971, 2913, 8739, 10681, 32043

Step-4: Factors of 96147

List of positive integer factors of 96147 that divides 96129 without a remainder.

1, 3, 9, 27, 81, 1187, 3561, 10683, 32049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96129 and 96147. The biggest common factor number is the GCF number.
So the greatest common factor 96129 and 96147 is 9.

Also check out the Least Common Multiple of 96129 and 96147