What is the Greatest Common Factor of 56416 and 56421?

Greatest common factor (GCF) of 56416 and 56421 is 1.

GCF(56416,56421) = 1

We will now calculate the prime factors of 56416 and 56421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56416 and 56421.

How to find the GCF of 56416 and 56421?

We will first find the prime factorization of 56416 and 56421. After we will calculate the factors of 56416 and 56421 and find the biggest common factor number .

Step-1: Prime Factorization of 56416

Prime factors of 56416 are 2, 41, 43. Prime factorization of 56416 in exponential form is:

56416 = 2⁵ × 41¹ × 43¹

Step-2: Prime Factorization of 56421

Prime factors of 56421 are 3, 6269. Prime factorization of 56421 in exponential form is:

56421 = 3² × 6269¹

Step-3: Factors of 56416

List of positive integer factors of 56416 that divides 56416 without a remainder.

1, 2, 4, 8, 16, 32, 41, 43, 82, 86, 164, 172, 328, 344, 656, 688, 1312, 1376, 1763, 3526, 7052, 14104, 28208

Step-4: Factors of 56421

List of positive integer factors of 56421 that divides 56416 without a remainder.

1, 3, 9, 6269, 18807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56416 and 56421. The biggest common factor number is the GCF number.
So the greatest common factor 56416 and 56421 is 1.

Also check out the Least Common Multiple of 56416 and 56421