What is the Greatest Common Factor of 94304 and 94311?

Greatest common factor (GCF) of 94304 and 94311 is 7.

GCF(94304,94311) = 7

We will now calculate the prime factors of 94304 and 94311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94304 and 94311.

How to find the GCF of 94304 and 94311?

We will first find the prime factorization of 94304 and 94311. After we will calculate the factors of 94304 and 94311 and find the biggest common factor number .

Step-1: Prime Factorization of 94304

Prime factors of 94304 are 2, 7, 421. Prime factorization of 94304 in exponential form is:

94304 = 2⁵ × 7¹ × 421¹

Step-2: Prime Factorization of 94311

Prime factors of 94311 are 3, 7, 499. Prime factorization of 94311 in exponential form is:

94311 = 3³ × 7¹ × 499¹

Step-3: Factors of 94304

List of positive integer factors of 94304 that divides 94304 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 421, 842, 1684, 2947, 3368, 5894, 6736, 11788, 13472, 23576, 47152

Step-4: Factors of 94311

List of positive integer factors of 94311 that divides 94304 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 499, 1497, 3493, 4491, 10479, 13473, 31437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94304 and 94311. The biggest common factor number is the GCF number.
So the greatest common factor 94304 and 94311 is 7.

Also check out the Least Common Multiple of 94304 and 94311