What is the Greatest Common Factor of 58623 and 58627?

Greatest common factor (GCF) of 58623 and 58627 is 1.

GCF(58623,58627) = 1

We will now calculate the prime factors of 58623 and 58627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58623 and 58627.

How to find the GCF of 58623 and 58627?

We will first find the prime factorization of 58623 and 58627. After we will calculate the factors of 58623 and 58627 and find the biggest common factor number .

Step-1: Prime Factorization of 58623

Prime factors of 58623 are 3, 19541. Prime factorization of 58623 in exponential form is:

58623 = 3¹ × 19541¹

Step-2: Prime Factorization of 58627

Prime factors of 58627 are 23, 2549. Prime factorization of 58627 in exponential form is:

58627 = 23¹ × 2549¹

Step-3: Factors of 58623

List of positive integer factors of 58623 that divides 58623 without a remainder.

1, 3, 19541

Step-4: Factors of 58627

List of positive integer factors of 58627 that divides 58623 without a remainder.

1, 23, 2549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58623 and 58627. The biggest common factor number is the GCF number.
So the greatest common factor 58623 and 58627 is 1.

Also check out the Least Common Multiple of 58623 and 58627