What is the Greatest Common Factor of 59102 and 59108?

Greatest common factor (GCF) of 59102 and 59108 is 2.

GCF(59102,59108) = 2

We will now calculate the prime factors of 59102 and 59108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59102 and 59108.

How to find the GCF of 59102 and 59108?

We will first find the prime factorization of 59102 and 59108. After we will calculate the factors of 59102 and 59108 and find the biggest common factor number .

Step-1: Prime Factorization of 59102

Prime factors of 59102 are 2, 29, 1019. Prime factorization of 59102 in exponential form is:

59102 = 2¹ × 29¹ × 1019¹

Step-2: 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-3: Factors of 59102

List of positive integer factors of 59102 that divides 59102 without a remainder.

1, 2, 29, 58, 1019, 2038, 29551

Step-4: Factors of 59108

List of positive integer factors of 59108 that divides 59102 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59102 and 59108. The biggest common factor number is the GCF number.
So the greatest common factor 59102 and 59108 is 2.

Also check out the Least Common Multiple of 59102 and 59108