What is the Greatest Common Factor of 96117 and 96129?

Greatest common factor (GCF) of 96117 and 96129 is 3.

GCF(96117,96129) = 3

We will now calculate the prime factors of 96117 and 96129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96117 and 96129.

How to find the GCF of 96117 and 96129?

We will first find the prime factorization of 96117 and 96129. After we will calculate the factors of 96117 and 96129 and find the biggest common factor number .

Step-1: Prime Factorization of 96117

Prime factors of 96117 are 3, 7, 23, 199. Prime factorization of 96117 in exponential form is:

96117 = 3¹ × 7¹ × 23¹ × 199¹

Step-2: 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-3: Factors of 96117

List of positive integer factors of 96117 that divides 96117 without a remainder.

1, 3, 7, 21, 23, 69, 161, 199, 483, 597, 1393, 4179, 4577, 13731, 32039

Step-4: Factors of 96129

List of positive integer factors of 96129 that divides 96117 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96117 and 96129. The biggest common factor number is the GCF number.
So the greatest common factor 96117 and 96129 is 3.

Also check out the Least Common Multiple of 96117 and 96129