What is the Greatest Common Factor of 58709 and 58727?

Greatest common factor (GCF) of 58709 and 58727 is 1.

GCF(58709,58727) = 1

We will now calculate the prime factors of 58709 and 58727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58709 and 58727.

How to find the GCF of 58709 and 58727?

We will first find the prime factorization of 58709 and 58727. After we will calculate the factors of 58709 and 58727 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 58727

Prime factors of 58727 are 58727. Prime factorization of 58727 in exponential form is:

58727 = 58727¹

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 58727

List of positive integer factors of 58727 that divides 58709 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58709 and 58727. The biggest common factor number is the GCF number.
So the greatest common factor 58709 and 58727 is 1.

Also check out the Least Common Multiple of 58709 and 58727