What is the Greatest Common Factor of 56320 and 56330?

Greatest common factor (GCF) of 56320 and 56330 is 10.

GCF(56320,56330) = 10

We will now calculate the prime factors of 56320 and 56330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56320 and 56330.

How to find the GCF of 56320 and 56330?

We will first find the prime factorization of 56320 and 56330. After we will calculate the factors of 56320 and 56330 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 56330

Prime factors of 56330 are 2, 5, 43, 131. Prime factorization of 56330 in exponential form is:

56330 = 2¹ × 5¹ × 43¹ × 131¹

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 56330

List of positive integer factors of 56330 that divides 56320 without a remainder.

1, 2, 5, 10, 43, 86, 131, 215, 262, 430, 655, 1310, 5633, 11266, 28165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56320 and 56330. The biggest common factor number is the GCF number.
So the greatest common factor 56320 and 56330 is 10.

Also check out the Least Common Multiple of 56320 and 56330