What is the Greatest Common Factor of 6112 and 6130?

Greatest common factor (GCF) of 6112 and 6130 is 2.

GCF(6112,6130) = 2

We will now calculate the prime factors of 6112 and 6130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6112 and 6130.

How to find the GCF of 6112 and 6130?

We will first find the prime factorization of 6112 and 6130. After we will calculate the factors of 6112 and 6130 and find the biggest common factor number .

Step-1: Prime Factorization of 6112

Prime factors of 6112 are 2, 191. Prime factorization of 6112 in exponential form is:

6112 = 2⁵ × 191¹

Step-2: Prime Factorization of 6130

Prime factors of 6130 are 2, 5, 613. Prime factorization of 6130 in exponential form is:

6130 = 2¹ × 5¹ × 613¹

Step-3: Factors of 6112

List of positive integer factors of 6112 that divides 6112 without a remainder.

1, 2, 4, 8, 16, 32, 191, 382, 764, 1528, 3056

Step-4: Factors of 6130

List of positive integer factors of 6130 that divides 6112 without a remainder.

1, 2, 5, 10, 613, 1226, 3065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6112 and 6130. The biggest common factor number is the GCF number.
So the greatest common factor 6112 and 6130 is 2.

Also check out the Least Common Multiple of 6112 and 6130