What is the Greatest Common Factor of 93144 and 93152?

Greatest common factor (GCF) of 93144 and 93152 is 8.

GCF(93144,93152) = 8

We will now calculate the prime factors of 93144 and 93152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93144 and 93152.

How to find the GCF of 93144 and 93152?

We will first find the prime factorization of 93144 and 93152. After we will calculate the factors of 93144 and 93152 and find the biggest common factor number .

Step-1: Prime Factorization of 93144

Prime factors of 93144 are 2, 3, 3881. Prime factorization of 93144 in exponential form is:

93144 = 2³ × 3¹ × 3881¹

Step-2: Prime Factorization of 93152

Prime factors of 93152 are 2, 41, 71. Prime factorization of 93152 in exponential form is:

93152 = 2⁵ × 41¹ × 71¹

Step-3: Factors of 93144

List of positive integer factors of 93144 that divides 93144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3881, 7762, 11643, 15524, 23286, 31048, 46572

Step-4: Factors of 93152

List of positive integer factors of 93152 that divides 93144 without a remainder.

1, 2, 4, 8, 16, 32, 41, 71, 82, 142, 164, 284, 328, 568, 656, 1136, 1312, 2272, 2911, 5822, 11644, 23288, 46576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93144 and 93152. The biggest common factor number is the GCF number.
So the greatest common factor 93144 and 93152 is 8.

Also check out the Least Common Multiple of 93144 and 93152