What is the Greatest Common Factor of 58724 and 58737?

Greatest common factor (GCF) of 58724 and 58737 is 1.

GCF(58724,58737) = 1

We will now calculate the prime factors of 58724 and 58737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58724 and 58737.

How to find the GCF of 58724 and 58737?

We will first find the prime factorization of 58724 and 58737. After we will calculate the factors of 58724 and 58737 and find the biggest common factor number .

Step-1: Prime Factorization of 58724

Prime factors of 58724 are 2, 53, 277. Prime factorization of 58724 in exponential form is:

58724 = 2² × 53¹ × 277¹

Step-2: Prime Factorization of 58737

Prime factors of 58737 are 3, 7, 2797. Prime factorization of 58737 in exponential form is:

58737 = 3¹ × 7¹ × 2797¹

Step-3: Factors of 58724

List of positive integer factors of 58724 that divides 58724 without a remainder.

1, 2, 4, 53, 106, 212, 277, 554, 1108, 14681, 29362

Step-4: Factors of 58737

List of positive integer factors of 58737 that divides 58724 without a remainder.

1, 3, 7, 21, 2797, 8391, 19579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58724 and 58737. The biggest common factor number is the GCF number.
So the greatest common factor 58724 and 58737 is 1.

Also check out the Least Common Multiple of 58724 and 58737