What is the Greatest Common Factor of 94164 and 94176?

Greatest common factor (GCF) of 94164 and 94176 is 12.

GCF(94164,94176) = 12

We will now calculate the prime factors of 94164 and 94176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94164 and 94176.

How to find the GCF of 94164 and 94176?

We will first find the prime factorization of 94164 and 94176. After we will calculate the factors of 94164 and 94176 and find the biggest common factor number .

Step-1: Prime Factorization of 94164

Prime factors of 94164 are 2, 3, 7, 19, 59. Prime factorization of 94164 in exponential form is:

94164 = 2² × 3¹ × 7¹ × 19¹ × 59¹

Step-2: 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-3: Factors of 94164

List of positive integer factors of 94164 that divides 94164 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 57, 59, 76, 84, 114, 118, 133, 177, 228, 236, 266, 354, 399, 413, 532, 708, 798, 826, 1121, 1239, 1596, 1652, 2242, 2478, 3363, 4484, 4956, 6726, 7847, 13452, 15694, 23541, 31388, 47082

Step-4: Factors of 94176

List of positive integer factors of 94176 that divides 94164 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94164 and 94176. The biggest common factor number is the GCF number.
So the greatest common factor 94164 and 94176 is 12.

Also check out the Least Common Multiple of 94164 and 94176