What is the Greatest Common Factor of 93120 and 93139?

Greatest common factor (GCF) of 93120 and 93139 is 1.

GCF(93120,93139) = 1

We will now calculate the prime factors of 93120 and 93139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93120 and 93139.

How to find the GCF of 93120 and 93139?

We will first find the prime factorization of 93120 and 93139. After we will calculate the factors of 93120 and 93139 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 93139

Prime factors of 93139 are 93139. Prime factorization of 93139 in exponential form is:

93139 = 93139¹

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 93139

List of positive integer factors of 93139 that divides 93120 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93120 and 93139. The biggest common factor number is the GCF number.
So the greatest common factor 93120 and 93139 is 1.

Also check out the Least Common Multiple of 93120 and 93139