What is the Greatest Common Factor of 93120 and 93129?

Greatest common factor (GCF) of 93120 and 93129 is 3.

GCF(93120,93129) = 3

We will now calculate the prime factors of 93120 and 93129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93120 and 93129.

How to find the GCF of 93120 and 93129?

We will first find the prime factorization of 93120 and 93129. After we will calculate the factors of 93120 and 93129 and find the biggest common factor number .

Step-1: Prime Factorization of 93120

Prime factors of 93120 are 2, 3, 5, 97. Prime factorization of 93120 in exponential form is:

93120 = 2⁶ × 3¹ × 5¹ × 97¹

Step-2: Prime Factorization of 93129

Prime factors of 93129 are 3, 37, 839. Prime factorization of 93129 in exponential form is:

93129 = 3¹ × 37¹ × 839¹

Step-3: Factors of 93120

List of positive integer factors of 93120 that divides 93120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 97, 120, 160, 192, 194, 240, 291, 320, 388, 480, 485, 582, 776, 960, 970, 1164, 1455, 1552, 1940, 2328, 2910, 3104, 3880, 4656, 5820, 6208, 7760, 9312, 11640, 15520, 18624, 23280, 31040, 46560

Step-4: Factors of 93129

List of positive integer factors of 93129 that divides 93120 without a remainder.

1, 3, 37, 111, 839, 2517, 31043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93120 and 93129. The biggest common factor number is the GCF number.
So the greatest common factor 93120 and 93129 is 3.

Also check out the Least Common Multiple of 93120 and 93129