What is the Greatest Common Factor of 94144 and 94164?

Greatest common factor (GCF) of 94144 and 94164 is 4.

GCF(94144,94164) = 4

We will now calculate the prime factors of 94144 and 94164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94144 and 94164.

How to find the GCF of 94144 and 94164?

We will first find the prime factorization of 94144 and 94164. After we will calculate the factors of 94144 and 94164 and find the biggest common factor number .

Step-1: Prime Factorization of 94144

Prime factors of 94144 are 2, 1471. Prime factorization of 94144 in exponential form is:

94144 = 2⁶ × 1471¹

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 94144

List of positive integer factors of 94144 that divides 94144 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1471, 2942, 5884, 11768, 23536, 47072

Step-4: Factors of 94164

List of positive integer factors of 94164 that divides 94144 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 94144 and 94164. The biggest common factor number is the GCF number.
So the greatest common factor 94144 and 94164 is 4.

Also check out the Least Common Multiple of 94144 and 94164