What is the Greatest Common Factor of 58869 and 58875?

Greatest common factor (GCF) of 58869 and 58875 is 3.

GCF(58869,58875) = 3

We will now calculate the prime factors of 58869 and 58875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58869 and 58875.

How to find the GCF of 58869 and 58875?

We will first find the prime factorization of 58869 and 58875. After we will calculate the factors of 58869 and 58875 and find the biggest common factor number .

Step-1: Prime Factorization of 58869

Prime factors of 58869 are 3, 31, 211. Prime factorization of 58869 in exponential form is:

58869 = 3² × 31¹ × 211¹

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 58869

List of positive integer factors of 58869 that divides 58869 without a remainder.

1, 3, 9, 31, 93, 211, 279, 633, 1899, 6541, 19623

Step-4: Factors of 58875

List of positive integer factors of 58875 that divides 58869 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 58869 and 58875. The biggest common factor number is the GCF number.
So the greatest common factor 58869 and 58875 is 3.

Also check out the Least Common Multiple of 58869 and 58875