What is the Greatest Common Factor of 59108 and 59112?

Greatest common factor (GCF) of 59108 and 59112 is 4.

GCF(59108,59112) = 4

We will now calculate the prime factors of 59108 and 59112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59108 and 59112.

How to find the GCF of 59108 and 59112?

We will first find the prime factorization of 59108 and 59112. After we will calculate the factors of 59108 and 59112 and find the biggest common factor number .

Step-1: Prime Factorization of 59108

Prime factors of 59108 are 2, 7, 2111. Prime factorization of 59108 in exponential form is:

59108 = 2² × 7¹ × 2111¹

Step-2: Prime Factorization of 59112

Prime factors of 59112 are 2, 3, 821. Prime factorization of 59112 in exponential form is:

59112 = 2³ × 3² × 821¹

Step-3: Factors of 59108

List of positive integer factors of 59108 that divides 59108 without a remainder.

1, 2, 4, 7, 14, 28, 2111, 4222, 8444, 14777, 29554

Step-4: Factors of 59112

List of positive integer factors of 59112 that divides 59108 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 821, 1642, 2463, 3284, 4926, 6568, 7389, 9852, 14778, 19704, 29556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59108 and 59112. The biggest common factor number is the GCF number.
So the greatest common factor 59108 and 59112 is 4.

Also check out the Least Common Multiple of 59108 and 59112