What is the Greatest Common Factor of 56305 and 56320?

Greatest common factor (GCF) of 56305 and 56320 is 5.

GCF(56305,56320) = 5

We will now calculate the prime factors of 56305 and 56320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56305 and 56320.

How to find the GCF of 56305 and 56320?

We will first find the prime factorization of 56305 and 56320. After we will calculate the factors of 56305 and 56320 and find the biggest common factor number .

Step-1: Prime Factorization of 56305

Prime factors of 56305 are 5, 11261. Prime factorization of 56305 in exponential form is:

56305 = 5¹ × 11261¹

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 56305

List of positive integer factors of 56305 that divides 56305 without a remainder.

1, 5, 11261

Step-4: Factors of 56320

List of positive integer factors of 56320 that divides 56305 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 56305 and 56320. The biggest common factor number is the GCF number.
So the greatest common factor 56305 and 56320 is 5.

Also check out the Least Common Multiple of 56305 and 56320