What is the Greatest Common Factor of 56304 and 56308?

Greatest common factor (GCF) of 56304 and 56308 is 4.

GCF(56304,56308) = 4

We will now calculate the prime factors of 56304 and 56308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56304 and 56308.

How to find the GCF of 56304 and 56308?

We will first find the prime factorization of 56304 and 56308. After we will calculate the factors of 56304 and 56308 and find the biggest common factor number .

Step-1: Prime Factorization of 56304

Prime factors of 56304 are 2, 3, 17, 23. Prime factorization of 56304 in exponential form is:

56304 = 2⁴ × 3² × 17¹ × 23¹

Step-2: Prime Factorization of 56308

Prime factors of 56308 are 2, 7, 2011. Prime factorization of 56308 in exponential form is:

56308 = 2² × 7¹ × 2011¹

Step-3: Factors of 56304

List of positive integer factors of 56304 that divides 56304 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 23, 24, 34, 36, 46, 48, 51, 68, 69, 72, 92, 102, 136, 138, 144, 153, 184, 204, 207, 272, 276, 306, 368, 391, 408, 414, 552, 612, 782, 816, 828, 1104, 1173, 1224, 1564, 1656, 2346, 2448, 3128, 3312, 3519, 4692, 6256, 7038, 9384, 14076, 18768, 28152

Step-4: Factors of 56308

List of positive integer factors of 56308 that divides 56304 without a remainder.

1, 2, 4, 7, 14, 28, 2011, 4022, 8044, 14077, 28154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56304 and 56308. The biggest common factor number is the GCF number.
So the greatest common factor 56304 and 56308 is 4.

Also check out the Least Common Multiple of 56304 and 56308