What is the Greatest Common Factor of 58875 and 58885?

Greatest common factor (GCF) of 58875 and 58885 is 5.

GCF(58875,58885) = 5

We will now calculate the prime factors of 58875 and 58885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58875 and 58885.

How to find the GCF of 58875 and 58885?

We will first find the prime factorization of 58875 and 58885. After we will calculate the factors of 58875 and 58885 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58885

Prime factors of 58885 are 5, 11777. Prime factorization of 58885 in exponential form is:

58885 = 5¹ × 11777¹

Step-3: Factors of 58875

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

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

Step-4: Factors of 58885

List of positive integer factors of 58885 that divides 58875 without a remainder.

1, 5, 11777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58875 and 58885. The biggest common factor number is the GCF number.
So the greatest common factor 58875 and 58885 is 5.

Also check out the Least Common Multiple of 58875 and 58885