What is the Greatest Common Factor of 96124 and 96135?

Greatest common factor (GCF) of 96124 and 96135 is 1.

GCF(96124,96135) = 1

We will now calculate the prime factors of 96124 and 96135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96124 and 96135.

How to find the GCF of 96124 and 96135?

We will first find the prime factorization of 96124 and 96135. After we will calculate the factors of 96124 and 96135 and find the biggest common factor number .

Step-1: Prime Factorization of 96124

Prime factors of 96124 are 2, 7, 3433. Prime factorization of 96124 in exponential form is:

96124 = 2² × 7¹ × 3433¹

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 96124

List of positive integer factors of 96124 that divides 96124 without a remainder.

1, 2, 4, 7, 14, 28, 3433, 6866, 13732, 24031, 48062

Step-4: Factors of 96135

List of positive integer factors of 96135 that divides 96124 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 96124 and 96135. The biggest common factor number is the GCF number.
So the greatest common factor 96124 and 96135 is 1.

Also check out the Least Common Multiple of 96124 and 96135