What is the Greatest Common Factor of 94164 and 94168?

Greatest common factor (GCF) of 94164 and 94168 is 4.

GCF(94164,94168) = 4

We will now calculate the prime factors of 94164 and 94168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94164 and 94168.

How to find the GCF of 94164 and 94168?

We will first find the prime factorization of 94164 and 94168. After we will calculate the factors of 94164 and 94168 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 94168

Prime factors of 94168 are 2, 79, 149. Prime factorization of 94168 in exponential form is:

94168 = 2³ × 79¹ × 149¹

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 94168

List of positive integer factors of 94168 that divides 94164 without a remainder.

1, 2, 4, 8, 79, 149, 158, 298, 316, 596, 632, 1192, 11771, 23542, 47084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94164 and 94168. The biggest common factor number is the GCF number.
So the greatest common factor 94164 and 94168 is 4.

Also check out the Least Common Multiple of 94164 and 94168