What is the Greatest Common Factor of 94304 and 94308?

Greatest common factor (GCF) of 94304 and 94308 is 4.

GCF(94304,94308) = 4

We will now calculate the prime factors of 94304 and 94308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94304 and 94308.

How to find the GCF of 94304 and 94308?

We will first find the prime factorization of 94304 and 94308. After we will calculate the factors of 94304 and 94308 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 94308

Prime factors of 94308 are 2, 3, 29, 271. Prime factorization of 94308 in exponential form is:

94308 = 2² × 3¹ × 29¹ × 271¹

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 94308

List of positive integer factors of 94308 that divides 94304 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 271, 348, 542, 813, 1084, 1626, 3252, 7859, 15718, 23577, 31436, 47154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94304 and 94308. The biggest common factor number is the GCF number.
So the greatest common factor 94304 and 94308 is 4.

Also check out the Least Common Multiple of 94304 and 94308