What is the Greatest Common Factor of 94304 and 94312?

Greatest common factor (GCF) of 94304 and 94312 is 8.

GCF(94304,94312) = 8

We will now calculate the prime factors of 94304 and 94312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94304 and 94312.

How to find the GCF of 94304 and 94312?

We will first find the prime factorization of 94304 and 94312. After we will calculate the factors of 94304 and 94312 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 94312

Prime factors of 94312 are 2, 11789. Prime factorization of 94312 in exponential form is:

94312 = 2³ × 11789¹

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 94312

List of positive integer factors of 94312 that divides 94304 without a remainder.

1, 2, 4, 8, 11789, 23578, 47156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94304 and 94312. The biggest common factor number is the GCF number.
So the greatest common factor 94304 and 94312 is 8.

Also check out the Least Common Multiple of 94304 and 94312