What is the Greatest Common Factor of 94164 and 94182?

Greatest common factor (GCF) of 94164 and 94182 is 6.

GCF(94164,94182) = 6

We will now calculate the prime factors of 94164 and 94182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94164 and 94182.

How to find the GCF of 94164 and 94182?

We will first find the prime factorization of 94164 and 94182. After we will calculate the factors of 94164 and 94182 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 94182

Prime factors of 94182 are 2, 3, 11, 1427. Prime factorization of 94182 in exponential form is:

94182 = 2¹ × 3¹ × 11¹ × 1427¹

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 94182

List of positive integer factors of 94182 that divides 94164 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1427, 2854, 4281, 8562, 15697, 31394, 47091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94164 and 94182. The biggest common factor number is the GCF number.
So the greatest common factor 94164 and 94182 is 6.

Also check out the Least Common Multiple of 94164 and 94182