What is the Greatest Common Factor of 96118 and 96129?

Greatest common factor (GCF) of 96118 and 96129 is 11.

GCF(96118,96129) = 11

We will now calculate the prime factors of 96118 and 96129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96118 and 96129.

How to find the GCF of 96118 and 96129?

We will first find the prime factorization of 96118 and 96129. After we will calculate the factors of 96118 and 96129 and find the biggest common factor number .

Step-1: Prime Factorization of 96118

Prime factors of 96118 are 2, 11, 17, 257. Prime factorization of 96118 in exponential form is:

96118 = 2¹ × 11¹ × 17¹ × 257¹

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 96118

List of positive integer factors of 96118 that divides 96118 without a remainder.

1, 2, 11, 17, 22, 34, 187, 257, 374, 514, 2827, 4369, 5654, 8738, 48059

Step-4: Factors of 96129

List of positive integer factors of 96129 that divides 96118 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 96118 and 96129. The biggest common factor number is the GCF number.
So the greatest common factor 96118 and 96129 is 11.

Also check out the Least Common Multiple of 96118 and 96129