What is the Greatest Common Factor of 93109 and 93120?

Greatest common factor (GCF) of 93109 and 93120 is 1.

GCF(93109,93120) = 1

We will now calculate the prime factors of 93109 and 93120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93109 and 93120.

How to find the GCF of 93109 and 93120?

We will first find the prime factorization of 93109 and 93120. After we will calculate the factors of 93109 and 93120 and find the biggest common factor number .

Step-1: Prime Factorization of 93109

Prime factors of 93109 are 17, 5477. Prime factorization of 93109 in exponential form is:

93109 = 17¹ × 5477¹

Step-2: 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-3: Factors of 93109

List of positive integer factors of 93109 that divides 93109 without a remainder.

1, 17, 5477

Step-4: Factors of 93120

List of positive integer factors of 93120 that divides 93109 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93109 and 93120. The biggest common factor number is the GCF number.
So the greatest common factor 93109 and 93120 is 1.

Also check out the Least Common Multiple of 93109 and 93120