What is the Greatest Common Factor of 94299 and 94316?

Greatest common factor (GCF) of 94299 and 94316 is 17.

GCF(94299,94316) = 17

We will now calculate the prime factors of 94299 and 94316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94299 and 94316.

How to find the GCF of 94299 and 94316?

We will first find the prime factorization of 94299 and 94316. After we will calculate the factors of 94299 and 94316 and find the biggest common factor number .

Step-1: Prime Factorization of 94299

Prime factors of 94299 are 3, 17, 43. Prime factorization of 94299 in exponential form is:

94299 = 3¹ × 17¹ × 43²

Step-2: Prime Factorization of 94316

Prime factors of 94316 are 2, 17, 19, 73. Prime factorization of 94316 in exponential form is:

94316 = 2² × 17¹ × 19¹ × 73¹

Step-3: Factors of 94299

List of positive integer factors of 94299 that divides 94299 without a remainder.

1, 3, 17, 43, 51, 129, 731, 1849, 2193, 5547, 31433

Step-4: Factors of 94316

List of positive integer factors of 94316 that divides 94299 without a remainder.

1, 2, 4, 17, 19, 34, 38, 68, 73, 76, 146, 292, 323, 646, 1241, 1292, 1387, 2482, 2774, 4964, 5548, 23579, 47158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94299 and 94316. The biggest common factor number is the GCF number.
So the greatest common factor 94299 and 94316 is 17.

Also check out the Least Common Multiple of 94299 and 94316