What is the Greatest Common Factor of 94149 and 94164?

Greatest common factor (GCF) of 94149 and 94164 is 3.

GCF(94149,94164) = 3

We will now calculate the prime factors of 94149 and 94164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94149 and 94164.

How to find the GCF of 94149 and 94164?

We will first find the prime factorization of 94149 and 94164. After we will calculate the factors of 94149 and 94164 and find the biggest common factor number .

Step-1: Prime Factorization of 94149

Prime factors of 94149 are 3, 11, 317. Prime factorization of 94149 in exponential form is:

94149 = 3³ × 11¹ × 317¹

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 94149

List of positive integer factors of 94149 that divides 94149 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297, 317, 951, 2853, 3487, 8559, 10461, 31383

Step-4: Factors of 94164

List of positive integer factors of 94164 that divides 94149 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 94149 and 94164. The biggest common factor number is the GCF number.
So the greatest common factor 94149 and 94164 is 3.

Also check out the Least Common Multiple of 94149 and 94164