What is the Greatest Common Factor of 58868 and 58875?

Greatest common factor (GCF) of 58868 and 58875 is 1.

GCF(58868,58875) = 1

We will now calculate the prime factors of 58868 and 58875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58868 and 58875.

How to find the GCF of 58868 and 58875?

We will first find the prime factorization of 58868 and 58875. After we will calculate the factors of 58868 and 58875 and find the biggest common factor number .

Step-1: Prime Factorization of 58868

Prime factors of 58868 are 2, 14717. Prime factorization of 58868 in exponential form is:

58868 = 2² × 14717¹

Step-2: Prime Factorization of 58875

Prime factors of 58875 are 3, 5, 157. Prime factorization of 58875 in exponential form is:

58875 = 3¹ × 5³ × 157¹

Step-3: Factors of 58868

List of positive integer factors of 58868 that divides 58868 without a remainder.

1, 2, 4, 14717, 29434

Step-4: Factors of 58875

List of positive integer factors of 58875 that divides 58868 without a remainder.

1, 3, 5, 15, 25, 75, 125, 157, 375, 471, 785, 2355, 3925, 11775, 19625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58868 and 58875. The biggest common factor number is the GCF number.
So the greatest common factor 58868 and 58875 is 1.

Also check out the Least Common Multiple of 58868 and 58875