What is the Greatest Common Factor of 58686 and 58697?

Greatest common factor (GCF) of 58686 and 58697 is 1.

GCF(58686,58697) = 1

We will now calculate the prime factors of 58686 and 58697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58686 and 58697.

How to find the GCF of 58686 and 58697?

We will first find the prime factorization of 58686 and 58697. After we will calculate the factors of 58686 and 58697 and find the biggest common factor number .

Step-1: Prime Factorization of 58686

Prime factors of 58686 are 2, 3, 9781. Prime factorization of 58686 in exponential form is:

58686 = 2¹ × 3¹ × 9781¹

Step-2: Prime Factorization of 58697

Prime factors of 58697 are 79, 743. Prime factorization of 58697 in exponential form is:

58697 = 79¹ × 743¹

Step-3: Factors of 58686

List of positive integer factors of 58686 that divides 58686 without a remainder.

1, 2, 3, 6, 9781, 19562, 29343

Step-4: Factors of 58697

List of positive integer factors of 58697 that divides 58686 without a remainder.

1, 79, 743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58686 and 58697. The biggest common factor number is the GCF number.
So the greatest common factor 58686 and 58697 is 1.

Also check out the Least Common Multiple of 58686 and 58697