What is the Greatest Common Factor of 76116 and 76122?

Greatest common factor (GCF) of 76116 and 76122 is 6.

GCF(76116,76122) = 6

We will now calculate the prime factors of 76116 and 76122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76116 and 76122.

How to find the GCF of 76116 and 76122?

We will first find the prime factorization of 76116 and 76122. After we will calculate the factors of 76116 and 76122 and find the biggest common factor number .

Step-1: Prime Factorization of 76116

Prime factors of 76116 are 2, 3, 6343. Prime factorization of 76116 in exponential form is:

76116 = 2² × 3¹ × 6343¹

Step-2: Prime Factorization of 76122

Prime factors of 76122 are 2, 3, 4229. Prime factorization of 76122 in exponential form is:

76122 = 2¹ × 3² × 4229¹

Step-3: Factors of 76116

List of positive integer factors of 76116 that divides 76116 without a remainder.

1, 2, 3, 4, 6, 12, 6343, 12686, 19029, 25372, 38058

Step-4: Factors of 76122

List of positive integer factors of 76122 that divides 76116 without a remainder.

1, 2, 3, 6, 9, 18, 4229, 8458, 12687, 25374, 38061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76116 and 76122. The biggest common factor number is the GCF number.
So the greatest common factor 76116 and 76122 is 6.

Also check out the Least Common Multiple of 76116 and 76122