What is the Greatest Common Factor of 96126 and 96135?

Greatest common factor (GCF) of 96126 and 96135 is 3.

GCF(96126,96135) = 3

We will now calculate the prime factors of 96126 and 96135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96126 and 96135.

How to find the GCF of 96126 and 96135?

We will first find the prime factorization of 96126 and 96135. After we will calculate the factors of 96126 and 96135 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96135

Prime factors of 96135 are 3, 5, 13, 17, 29. Prime factorization of 96135 in exponential form is:

96135 = 3¹ × 5¹ × 13¹ × 17¹ × 29¹

Step-3: Factors of 96126

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

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

Step-4: Factors of 96135

List of positive integer factors of 96135 that divides 96126 without a remainder.

1, 3, 5, 13, 15, 17, 29, 39, 51, 65, 85, 87, 145, 195, 221, 255, 377, 435, 493, 663, 1105, 1131, 1479, 1885, 2465, 3315, 5655, 6409, 7395, 19227, 32045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96126 and 96135. The biggest common factor number is the GCF number.
So the greatest common factor 96126 and 96135 is 3.

Also check out the Least Common Multiple of 96126 and 96135