What is the Greatest Common Factor of 75096 and 75108?

Greatest common factor (GCF) of 75096 and 75108 is 12.

GCF(75096,75108) = 12

We will now calculate the prime factors of 75096 and 75108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75096 and 75108.

How to find the GCF of 75096 and 75108?

We will first find the prime factorization of 75096 and 75108. After we will calculate the factors of 75096 and 75108 and find the biggest common factor number .

Step-1: Prime Factorization of 75096

Prime factors of 75096 are 2, 3, 7, 149. Prime factorization of 75096 in exponential form is:

75096 = 2³ × 3² × 7¹ × 149¹

Step-2: Prime Factorization of 75108

Prime factors of 75108 are 2, 3, 11, 569. Prime factorization of 75108 in exponential form is:

75108 = 2² × 3¹ × 11¹ × 569¹

Step-3: Factors of 75096

List of positive integer factors of 75096 that divides 75096 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 149, 168, 252, 298, 447, 504, 596, 894, 1043, 1192, 1341, 1788, 2086, 2682, 3129, 3576, 4172, 5364, 6258, 8344, 9387, 10728, 12516, 18774, 25032, 37548

Step-4: Factors of 75108

List of positive integer factors of 75108 that divides 75096 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 569, 1138, 1707, 2276, 3414, 6259, 6828, 12518, 18777, 25036, 37554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75096 and 75108. The biggest common factor number is the GCF number.
So the greatest common factor 75096 and 75108 is 12.

Also check out the Least Common Multiple of 75096 and 75108