What is the Greatest Common Factor of 93860 and 93875?

Greatest common factor (GCF) of 93860 and 93875 is 5.

GCF(93860,93875) = 5

We will now calculate the prime factors of 93860 and 93875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93860 and 93875.

How to find the GCF of 93860 and 93875?

We will first find the prime factorization of 93860 and 93875. After we will calculate the factors of 93860 and 93875 and find the biggest common factor number .

Step-1: Prime Factorization of 93860

Prime factors of 93860 are 2, 5, 13, 19. Prime factorization of 93860 in exponential form is:

93860 = 2² × 5¹ × 13¹ × 19²

Step-2: Prime Factorization of 93875

Prime factors of 93875 are 5, 751. Prime factorization of 93875 in exponential form is:

93875 = 5³ × 751¹

Step-3: Factors of 93860

List of positive integer factors of 93860 that divides 93860 without a remainder.

1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 361, 380, 494, 722, 988, 1235, 1444, 1805, 2470, 3610, 4693, 4940, 7220, 9386, 18772, 23465, 46930

Step-4: Factors of 93875

List of positive integer factors of 93875 that divides 93860 without a remainder.

1, 5, 25, 125, 751, 3755, 18775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93860 and 93875. The biggest common factor number is the GCF number.
So the greatest common factor 93860 and 93875 is 5.

Also check out the Least Common Multiple of 93860 and 93875