What is the Greatest Common Factor of 93120 and 93138?

Greatest common factor (GCF) of 93120 and 93138 is 6.

GCF(93120,93138) = 6

We will now calculate the prime factors of 93120 and 93138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93120 and 93138.

How to find the GCF of 93120 and 93138?

We will first find the prime factorization of 93120 and 93138. After we will calculate the factors of 93120 and 93138 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 93138

Prime factors of 93138 are 2, 3, 19, 43. Prime factorization of 93138 in exponential form is:

93138 = 2¹ × 3¹ × 19² × 43¹

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 93138

List of positive integer factors of 93138 that divides 93120 without a remainder.

1, 2, 3, 6, 19, 38, 43, 57, 86, 114, 129, 258, 361, 722, 817, 1083, 1634, 2166, 2451, 4902, 15523, 31046, 46569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93120 and 93138. The biggest common factor number is the GCF number.
So the greatest common factor 93120 and 93138 is 6.

Also check out the Least Common Multiple of 93120 and 93138