What is the Greatest Common Factor of 94176 and 94188?

Greatest common factor (GCF) of 94176 and 94188 is 12.

GCF(94176,94188) = 12

We will now calculate the prime factors of 94176 and 94188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94176 and 94188.

How to find the GCF of 94176 and 94188?

We will first find the prime factorization of 94176 and 94188. After we will calculate the factors of 94176 and 94188 and find the biggest common factor number .

Step-1: Prime Factorization of 94176

Prime factors of 94176 are 2, 3, 109. Prime factorization of 94176 in exponential form is:

94176 = 2⁵ × 3³ × 109¹

Step-2: Prime Factorization of 94188

Prime factors of 94188 are 2, 3, 47, 167. Prime factorization of 94188 in exponential form is:

94188 = 2² × 3¹ × 47¹ × 167¹

Step-3: Factors of 94176

List of positive integer factors of 94176 that divides 94176 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 109, 144, 216, 218, 288, 327, 432, 436, 654, 864, 872, 981, 1308, 1744, 1962, 2616, 2943, 3488, 3924, 5232, 5886, 7848, 10464, 11772, 15696, 23544, 31392, 47088

Step-4: Factors of 94188

List of positive integer factors of 94188 that divides 94176 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 167, 188, 282, 334, 501, 564, 668, 1002, 2004, 7849, 15698, 23547, 31396, 47094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94176 and 94188. The biggest common factor number is the GCF number.
So the greatest common factor 94176 and 94188 is 12.

Also check out the Least Common Multiple of 94176 and 94188