What is the Greatest Common Factor of 58598 and 58613?

Greatest common factor (GCF) of 58598 and 58613 is 1.

GCF(58598,58613) = 1

We will now calculate the prime factors of 58598 and 58613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58598 and 58613.

How to find the GCF of 58598 and 58613?

We will first find the prime factorization of 58598 and 58613. After we will calculate the factors of 58598 and 58613 and find the biggest common factor number .

Step-1: Prime Factorization of 58598

Prime factors of 58598 are 2, 83, 353. Prime factorization of 58598 in exponential form is:

58598 = 2¹ × 83¹ × 353¹

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 58598

List of positive integer factors of 58598 that divides 58598 without a remainder.

1, 2, 83, 166, 353, 706, 29299

Step-4: Factors of 58613

List of positive integer factors of 58613 that divides 58598 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58598 and 58613. The biggest common factor number is the GCF number.
So the greatest common factor 58598 and 58613 is 1.

Also check out the Least Common Multiple of 58598 and 58613