What is the Greatest Common Factor of 93120 and 93136?

Greatest common factor (GCF) of 93120 and 93136 is 16.

GCF(93120,93136) = 16

We will now calculate the prime factors of 93120 and 93136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93120 and 93136.

How to find the GCF of 93120 and 93136?

We will first find the prime factorization of 93120 and 93136. After we will calculate the factors of 93120 and 93136 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 93136

Prime factors of 93136 are 2, 5821. Prime factorization of 93136 in exponential form is:

93136 = 2⁴ × 5821¹

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 93136

List of positive integer factors of 93136 that divides 93120 without a remainder.

1, 2, 4, 8, 16, 5821, 11642, 23284, 46568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93120 and 93136. The biggest common factor number is the GCF number.
So the greatest common factor 93120 and 93136 is 16.

Also check out the Least Common Multiple of 93120 and 93136