What is the Greatest Common Factor of 93564 and 93576?

Greatest common factor (GCF) of 93564 and 93576 is 12.

GCF(93564,93576) = 12

We will now calculate the prime factors of 93564 and 93576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93564 and 93576.

How to find the GCF of 93564 and 93576?

We will first find the prime factorization of 93564 and 93576. After we will calculate the factors of 93564 and 93576 and find the biggest common factor number .

Step-1: Prime Factorization of 93564

Prime factors of 93564 are 2, 3, 23, 113. Prime factorization of 93564 in exponential form is:

93564 = 2² × 3² × 23¹ × 113¹

Step-2: Prime Factorization of 93576

Prime factors of 93576 are 2, 3, 7, 557. Prime factorization of 93576 in exponential form is:

93576 = 2³ × 3¹ × 7¹ × 557¹

Step-3: Factors of 93564

List of positive integer factors of 93564 that divides 93564 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 113, 138, 207, 226, 276, 339, 414, 452, 678, 828, 1017, 1356, 2034, 2599, 4068, 5198, 7797, 10396, 15594, 23391, 31188, 46782

Step-4: Factors of 93576

List of positive integer factors of 93576 that divides 93564 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 557, 1114, 1671, 2228, 3342, 3899, 4456, 6684, 7798, 11697, 13368, 15596, 23394, 31192, 46788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93564 and 93576. The biggest common factor number is the GCF number.
So the greatest common factor 93564 and 93576 is 12.

Also check out the Least Common Multiple of 93564 and 93576