What is the Greatest Common Factor of 96114 and 96126?

Greatest common factor (GCF) of 96114 and 96126 is 6.

GCF(96114,96126) = 6

We will now calculate the prime factors of 96114 and 96126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96114 and 96126.

How to find the GCF of 96114 and 96126?

We will first find the prime factorization of 96114 and 96126. After we will calculate the factors of 96114 and 96126 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 96126

Prime factors of 96126 are 2, 3, 37, 433. Prime factorization of 96126 in exponential form is:

96126 = 2¹ × 3¹ × 37¹ × 433¹

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 96126

List of positive integer factors of 96126 that divides 96114 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 433, 866, 1299, 2598, 16021, 32042, 48063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96114 and 96126. The biggest common factor number is the GCF number.
So the greatest common factor 96114 and 96126 is 6.

Also check out the Least Common Multiple of 96114 and 96126