What is the Greatest Common Factor of 56384 and 56396?

Greatest common factor (GCF) of 56384 and 56396 is 4.

GCF(56384,56396) = 4

We will now calculate the prime factors of 56384 and 56396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56384 and 56396.

How to find the GCF of 56384 and 56396?

We will first find the prime factorization of 56384 and 56396. After we will calculate the factors of 56384 and 56396 and find the biggest common factor number .

Step-1: Prime Factorization of 56384

Prime factors of 56384 are 2, 881. Prime factorization of 56384 in exponential form is:

56384 = 2⁶ × 881¹

Step-2: Prime Factorization of 56396

Prime factors of 56396 are 2, 23, 613. Prime factorization of 56396 in exponential form is:

56396 = 2² × 23¹ × 613¹

Step-3: Factors of 56384

List of positive integer factors of 56384 that divides 56384 without a remainder.

1, 2, 4, 8, 16, 32, 64, 881, 1762, 3524, 7048, 14096, 28192

Step-4: Factors of 56396

List of positive integer factors of 56396 that divides 56384 without a remainder.

1, 2, 4, 23, 46, 92, 613, 1226, 2452, 14099, 28198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56384 and 56396. The biggest common factor number is the GCF number.
So the greatest common factor 56384 and 56396 is 4.

Also check out the Least Common Multiple of 56384 and 56396