What is the Greatest Common Factor of 93144 and 93164?

Greatest common factor (GCF) of 93144 and 93164 is 4.

GCF(93144,93164) = 4

We will now calculate the prime factors of 93144 and 93164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93144 and 93164.

How to find the GCF of 93144 and 93164?

We will first find the prime factorization of 93144 and 93164. After we will calculate the factors of 93144 and 93164 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 93164

Prime factors of 93164 are 2, 23291. Prime factorization of 93164 in exponential form is:

93164 = 2² × 23291¹

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 93164

List of positive integer factors of 93164 that divides 93144 without a remainder.

1, 2, 4, 23291, 46582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93144 and 93164. The biggest common factor number is the GCF number.
So the greatest common factor 93144 and 93164 is 4.

Also check out the Least Common Multiple of 93144 and 93164