What is the Greatest Common Factor of 4304 and 4308?

Greatest common factor (GCF) of 4304 and 4308 is 4.

GCF(4304,4308) = 4

We will now calculate the prime factors of 4304 and 4308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4304 and 4308.

How to find the GCF of 4304 and 4308?

We will first find the prime factorization of 4304 and 4308. After we will calculate the factors of 4304 and 4308 and find the biggest common factor number .

Step-1: Prime Factorization of 4304

Prime factors of 4304 are 2, 269. Prime factorization of 4304 in exponential form is:

4304 = 2⁴ × 269¹

Step-2: Prime Factorization of 4308

Prime factors of 4308 are 2, 3, 359. Prime factorization of 4308 in exponential form is:

4308 = 2² × 3¹ × 359¹

Step-3: Factors of 4304

List of positive integer factors of 4304 that divides 4304 without a remainder.

1, 2, 4, 8, 16, 269, 538, 1076, 2152

Step-4: Factors of 4308

List of positive integer factors of 4308 that divides 4304 without a remainder.

1, 2, 3, 4, 6, 12, 359, 718, 1077, 1436, 2154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4304 and 4308. The biggest common factor number is the GCF number.
So the greatest common factor 4304 and 4308 is 4.

Also check out the Least Common Multiple of 4304 and 4308