What is the Greatest Common Factor of 94176 and 94192?

Greatest common factor (GCF) of 94176 and 94192 is 16.

GCF(94176,94192) = 16

We will now calculate the prime factors of 94176 and 94192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94176 and 94192.

How to find the GCF of 94176 and 94192?

We will first find the prime factorization of 94176 and 94192. After we will calculate the factors of 94176 and 94192 and find the biggest common factor number .

Step-1: Prime Factorization of 94176

Prime factors of 94176 are 2, 3, 109. Prime factorization of 94176 in exponential form is:

94176 = 2⁵ × 3³ × 109¹

Step-2: Prime Factorization of 94192

Prime factors of 94192 are 2, 7, 29. Prime factorization of 94192 in exponential form is:

94192 = 2⁴ × 7¹ × 29²

Step-3: Factors of 94176

List of positive integer factors of 94176 that divides 94176 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 109, 144, 216, 218, 288, 327, 432, 436, 654, 864, 872, 981, 1308, 1744, 1962, 2616, 2943, 3488, 3924, 5232, 5886, 7848, 10464, 11772, 15696, 23544, 31392, 47088

Step-4: Factors of 94192

List of positive integer factors of 94192 that divides 94176 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 841, 1624, 1682, 3248, 3364, 5887, 6728, 11774, 13456, 23548, 47096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94176 and 94192. The biggest common factor number is the GCF number.
So the greatest common factor 94176 and 94192 is 16.

Also check out the Least Common Multiple of 94176 and 94192