What is the Greatest Common Factor of 56320 and 56339?

Greatest common factor (GCF) of 56320 and 56339 is 1.

GCF(56320,56339) = 1

We will now calculate the prime factors of 56320 and 56339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56320 and 56339.

How to find the GCF of 56320 and 56339?

We will first find the prime factorization of 56320 and 56339. After we will calculate the factors of 56320 and 56339 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56339

Prime factors of 56339 are 53, 1063. Prime factorization of 56339 in exponential form is:

56339 = 53¹ × 1063¹

Step-3: Factors of 56320

List of positive integer factors of 56320 that divides 56320 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

Step-4: Factors of 56339

List of positive integer factors of 56339 that divides 56320 without a remainder.

1, 53, 1063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56320 and 56339. The biggest common factor number is the GCF number.
So the greatest common factor 56320 and 56339 is 1.

Also check out the Least Common Multiple of 56320 and 56339