What is the Greatest Common Factor of 56304 and 56320?

Greatest common factor (GCF) of 56304 and 56320 is 16.

GCF(56304,56320) = 16

We will now calculate the prime factors of 56304 and 56320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56304 and 56320.

How to find the GCF of 56304 and 56320?

We will first find the prime factorization of 56304 and 56320. After we will calculate the factors of 56304 and 56320 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 56320

Prime factors of 56320 are 2, 5, 11. Prime factorization of 56320 in exponential form is:

56320 = 2¹⁰ × 5¹ × 11¹

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 56320

List of positive integer factors of 56320 that divides 56304 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 256, 320, 352, 440, 512, 640, 704, 880, 1024, 1280, 1408, 1760, 2560, 2816, 3520, 5120, 5632, 7040, 11264, 14080, 28160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56304 and 56320. The biggest common factor number is the GCF number.
So the greatest common factor 56304 and 56320 is 16.

Also check out the Least Common Multiple of 56304 and 56320