What is the Greatest Common Factor of 56304 and 56310?

Greatest common factor (GCF) of 56304 and 56310 is 6.

GCF(56304,56310) = 6

We will now calculate the prime factors of 56304 and 56310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56304 and 56310.

How to find the GCF of 56304 and 56310?

We will first find the prime factorization of 56304 and 56310. After we will calculate the factors of 56304 and 56310 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 56310

Prime factors of 56310 are 2, 3, 5, 1877. Prime factorization of 56310 in exponential form is:

56310 = 2¹ × 3¹ × 5¹ × 1877¹

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 56310

List of positive integer factors of 56310 that divides 56304 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1877, 3754, 5631, 9385, 11262, 18770, 28155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56304 and 56310. The biggest common factor number is the GCF number.
So the greatest common factor 56304 and 56310 is 6.

Also check out the Least Common Multiple of 56304 and 56310