What is the Greatest Common Factor of 94112 and 94129?

Greatest common factor (GCF) of 94112 and 94129 is 17.

GCF(94112,94129) = 17

We will now calculate the prime factors of 94112 and 94129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94112 and 94129.

How to find the GCF of 94112 and 94129?

We will first find the prime factorization of 94112 and 94129. After we will calculate the factors of 94112 and 94129 and find the biggest common factor number .

Step-1: Prime Factorization of 94112

Prime factors of 94112 are 2, 17, 173. Prime factorization of 94112 in exponential form is:

94112 = 2⁵ × 17¹ × 173¹

Step-2: Prime Factorization of 94129

Prime factors of 94129 are 7, 17, 113. Prime factorization of 94129 in exponential form is:

94129 = 7² × 17¹ × 113¹

Step-3: Factors of 94112

List of positive integer factors of 94112 that divides 94112 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 173, 272, 346, 544, 692, 1384, 2768, 2941, 5536, 5882, 11764, 23528, 47056

Step-4: Factors of 94129

List of positive integer factors of 94129 that divides 94112 without a remainder.

1, 7, 17, 49, 113, 119, 791, 833, 1921, 5537, 13447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94112 and 94129. The biggest common factor number is the GCF number.
So the greatest common factor 94112 and 94129 is 17.

Also check out the Least Common Multiple of 94112 and 94129