What is the Greatest Common Factor of 58709 and 58724?

Greatest common factor (GCF) of 58709 and 58724 is 1.

GCF(58709,58724) = 1

We will now calculate the prime factors of 58709 and 58724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58709 and 58724.

How to find the GCF of 58709 and 58724?

We will first find the prime factorization of 58709 and 58724. After we will calculate the factors of 58709 and 58724 and find the biggest common factor number .

Step-1: Prime Factorization of 58709

Prime factors of 58709 are 7, 8387. Prime factorization of 58709 in exponential form is:

58709 = 7¹ × 8387¹

Step-2: 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-3: Factors of 58709

List of positive integer factors of 58709 that divides 58709 without a remainder.

1, 7, 8387

Step-4: Factors of 58724

List of positive integer factors of 58724 that divides 58709 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58709 and 58724. The biggest common factor number is the GCF number.
So the greatest common factor 58709 and 58724 is 1.

Also check out the Least Common Multiple of 58709 and 58724