What is the Greatest Common Factor of 56368 and 56381?

Greatest common factor (GCF) of 56368 and 56381 is 13.

GCF(56368,56381) = 13

We will now calculate the prime factors of 56368 and 56381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56368 and 56381.

How to find the GCF of 56368 and 56381?

We will first find the prime factorization of 56368 and 56381. After we will calculate the factors of 56368 and 56381 and find the biggest common factor number .

Step-1: Prime Factorization of 56368

Prime factors of 56368 are 2, 13, 271. Prime factorization of 56368 in exponential form is:

56368 = 2⁴ × 13¹ × 271¹

Step-2: Prime Factorization of 56381

Prime factors of 56381 are 13, 4337. Prime factorization of 56381 in exponential form is:

56381 = 13¹ × 4337¹

Step-3: Factors of 56368

List of positive integer factors of 56368 that divides 56368 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 271, 542, 1084, 2168, 3523, 4336, 7046, 14092, 28184

Step-4: Factors of 56381

List of positive integer factors of 56381 that divides 56368 without a remainder.

1, 13, 4337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56368 and 56381. The biggest common factor number is the GCF number.
So the greatest common factor 56368 and 56381 is 13.

Also check out the Least Common Multiple of 56368 and 56381