What is the Greatest Common Factor of 58605 and 58623?

Greatest common factor (GCF) of 58605 and 58623 is 3.

GCF(58605,58623) = 3

We will now calculate the prime factors of 58605 and 58623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58605 and 58623.

How to find the GCF of 58605 and 58623?

We will first find the prime factorization of 58605 and 58623. After we will calculate the factors of 58605 and 58623 and find the biggest common factor number .

Step-1: Prime Factorization of 58605

Prime factors of 58605 are 3, 5, 3907. Prime factorization of 58605 in exponential form is:

58605 = 3¹ × 5¹ × 3907¹

Step-2: Prime Factorization of 58623

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

58623 = 3¹ × 19541¹

Step-3: Factors of 58605

List of positive integer factors of 58605 that divides 58605 without a remainder.

1, 3, 5, 15, 3907, 11721, 19535

Step-4: Factors of 58623

List of positive integer factors of 58623 that divides 58605 without a remainder.

1, 3, 19541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58605 and 58623. The biggest common factor number is the GCF number.
So the greatest common factor 58605 and 58623 is 3.

Also check out the Least Common Multiple of 58605 and 58623