What is the Greatest Common Factor of 96114 and 96122?

Greatest common factor (GCF) of 96114 and 96122 is 2.

GCF(96114,96122) = 2

We will now calculate the prime factors of 96114 and 96122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96114 and 96122.

How to find the GCF of 96114 and 96122?

We will first find the prime factorization of 96114 and 96122. After we will calculate the factors of 96114 and 96122 and find the biggest common factor number .

Step-1: Prime Factorization of 96114

Prime factors of 96114 are 2, 3, 83, 193. Prime factorization of 96114 in exponential form is:

96114 = 2¹ × 3¹ × 83¹ × 193¹

Step-2: Prime Factorization of 96122

Prime factors of 96122 are 2, 13, 3697. Prime factorization of 96122 in exponential form is:

96122 = 2¹ × 13¹ × 3697¹

Step-3: Factors of 96114

List of positive integer factors of 96114 that divides 96114 without a remainder.

1, 2, 3, 6, 83, 166, 193, 249, 386, 498, 579, 1158, 16019, 32038, 48057

Step-4: Factors of 96122

List of positive integer factors of 96122 that divides 96114 without a remainder.

1, 2, 13, 26, 3697, 7394, 48061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96114 and 96122. The biggest common factor number is the GCF number.
So the greatest common factor 96114 and 96122 is 2.

Also check out the Least Common Multiple of 96114 and 96122