What is the Greatest Common Factor of 58670 and 58675?

Greatest common factor (GCF) of 58670 and 58675 is 5.

GCF(58670,58675) = 5

We will now calculate the prime factors of 58670 and 58675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58670 and 58675.

How to find the GCF of 58670 and 58675?

We will first find the prime factorization of 58670 and 58675. After we will calculate the factors of 58670 and 58675 and find the biggest common factor number .

Step-1: Prime Factorization of 58670

Prime factors of 58670 are 2, 5, 5867. Prime factorization of 58670 in exponential form is:

58670 = 2¹ × 5¹ × 5867¹

Step-2: Prime Factorization of 58675

Prime factors of 58675 are 5, 2347. Prime factorization of 58675 in exponential form is:

58675 = 5² × 2347¹

Step-3: Factors of 58670

List of positive integer factors of 58670 that divides 58670 without a remainder.

1, 2, 5, 10, 5867, 11734, 29335

Step-4: Factors of 58675

List of positive integer factors of 58675 that divides 58670 without a remainder.

1, 5, 25, 2347, 11735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58670 and 58675. The biggest common factor number is the GCF number.
So the greatest common factor 58670 and 58675 is 5.

Also check out the Least Common Multiple of 58670 and 58675