What is the Greatest Common Factor of 58609 and 58613?

Greatest common factor (GCF) of 58609 and 58613 is 1.

GCF(58609,58613) = 1

We will now calculate the prime factors of 58609 and 58613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58609 and 58613.

How to find the GCF of 58609 and 58613?

We will first find the prime factorization of 58609 and 58613. After we will calculate the factors of 58609 and 58613 and find the biggest common factor number .

Step-1: Prime Factorization of 58609

Prime factors of 58609 are 29, 43, 47. Prime factorization of 58609 in exponential form is:

58609 = 29¹ × 43¹ × 47¹

Step-2: Prime Factorization of 58613

Prime factors of 58613 are 58613. Prime factorization of 58613 in exponential form is:

58613 = 58613¹

Step-3: Factors of 58609

List of positive integer factors of 58609 that divides 58609 without a remainder.

1, 29, 43, 47, 1247, 1363, 2021

Step-4: Factors of 58613

List of positive integer factors of 58613 that divides 58609 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58609 and 58613. The biggest common factor number is the GCF number.
So the greatest common factor 58609 and 58613 is 1.

Also check out the Least Common Multiple of 58609 and 58613