What is the Greatest Common Factor of 56320 and 56340?

Greatest common factor (GCF) of 56320 and 56340 is 20.

GCF(56320,56340) = 20

We will now calculate the prime factors of 56320 and 56340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56320 and 56340.

How to find the GCF of 56320 and 56340?

We will first find the prime factorization of 56320 and 56340. After we will calculate the factors of 56320 and 56340 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 56340

Prime factors of 56340 are 2, 3, 5, 313. Prime factorization of 56340 in exponential form is:

56340 = 2² × 3² × 5¹ × 313¹

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 56340

List of positive integer factors of 56340 that divides 56320 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 313, 626, 939, 1252, 1565, 1878, 2817, 3130, 3756, 4695, 5634, 6260, 9390, 11268, 14085, 18780, 28170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56320 and 56340. The biggest common factor number is the GCF number.
So the greatest common factor 56320 and 56340 is 20.

Also check out the Least Common Multiple of 56320 and 56340