What is the Greatest Common Factor of 94146 and 94164?

Greatest common factor (GCF) of 94146 and 94164 is 6.

GCF(94146,94164) = 6

We will now calculate the prime factors of 94146 and 94164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94146 and 94164.

How to find the GCF of 94146 and 94164?

We will first find the prime factorization of 94146 and 94164. After we will calculate the factors of 94146 and 94164 and find the biggest common factor number .

Step-1: Prime Factorization of 94146

Prime factors of 94146 are 2, 3, 13, 17, 71. Prime factorization of 94146 in exponential form is:

94146 = 2¹ × 3¹ × 13¹ × 17¹ × 71¹

Step-2: 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-3: Factors of 94146

List of positive integer factors of 94146 that divides 94146 without a remainder.

1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 71, 78, 102, 142, 213, 221, 426, 442, 663, 923, 1207, 1326, 1846, 2414, 2769, 3621, 5538, 7242, 15691, 31382, 47073

Step-4: Factors of 94164

List of positive integer factors of 94164 that divides 94146 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94146 and 94164. The biggest common factor number is the GCF number.
So the greatest common factor 94146 and 94164 is 6.

Also check out the Least Common Multiple of 94146 and 94164