What is the Greatest Common Factor of 58598 and 58612?

Greatest common factor (GCF) of 58598 and 58612 is 2.

GCF(58598,58612) = 2

We will now calculate the prime factors of 58598 and 58612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58598 and 58612.

How to find the GCF of 58598 and 58612?

We will first find the prime factorization of 58598 and 58612. After we will calculate the factors of 58598 and 58612 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 58612

Prime factors of 58612 are 2, 14653. Prime factorization of 58612 in exponential form is:

58612 = 2² × 14653¹

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 58612

List of positive integer factors of 58612 that divides 58598 without a remainder.

1, 2, 4, 14653, 29306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58598 and 58612. The biggest common factor number is the GCF number.
So the greatest common factor 58598 and 58612 is 2.

Also check out the Least Common Multiple of 58598 and 58612