What is the Greatest Common Factor of 58713 and 58727?

Greatest common factor (GCF) of 58713 and 58727 is 1.

GCF(58713,58727) = 1

We will now calculate the prime factors of 58713 and 58727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58713 and 58727.

How to find the GCF of 58713 and 58727?

We will first find the prime factorization of 58713 and 58727. After we will calculate the factors of 58713 and 58727 and find the biggest common factor number .

Step-1: Prime Factorization of 58713

Prime factors of 58713 are 3, 19571. Prime factorization of 58713 in exponential form is:

58713 = 3¹ × 19571¹

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 58713

List of positive integer factors of 58713 that divides 58713 without a remainder.

1, 3, 19571

Step-4: Factors of 58727

List of positive integer factors of 58727 that divides 58713 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58713 and 58727. The biggest common factor number is the GCF number.
So the greatest common factor 58713 and 58727 is 1.

Also check out the Least Common Multiple of 58713 and 58727