What is the Greatest Common Factor of 58675 and 58681?

Greatest common factor (GCF) of 58675 and 58681 is 1.

GCF(58675,58681) = 1

We will now calculate the prime factors of 58675 and 58681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58675 and 58681.

How to find the GCF of 58675 and 58681?

We will first find the prime factorization of 58675 and 58681. After we will calculate the factors of 58675 and 58681 and find the biggest common factor number .

Step-1: Prime Factorization of 58675

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

58675 = 5² × 2347¹

Step-2: Prime Factorization of 58681

Prime factors of 58681 are 7, 83, 101. Prime factorization of 58681 in exponential form is:

58681 = 7¹ × 83¹ × 101¹

Step-3: Factors of 58675

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

1, 5, 25, 2347, 11735

Step-4: Factors of 58681

List of positive integer factors of 58681 that divides 58675 without a remainder.

1, 7, 83, 101, 581, 707, 8383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58675 and 58681. The biggest common factor number is the GCF number.
So the greatest common factor 58675 and 58681 is 1.

Also check out the Least Common Multiple of 58675 and 58681