What is the Greatest Common Factor of 56344 and 56352?

Greatest common factor (GCF) of 56344 and 56352 is 8.

GCF(56344,56352) = 8

We will now calculate the prime factors of 56344 and 56352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56344 and 56352.

How to find the GCF of 56344 and 56352?

We will first find the prime factorization of 56344 and 56352. After we will calculate the factors of 56344 and 56352 and find the biggest common factor number .

Step-1: Prime Factorization of 56344

Prime factors of 56344 are 2, 7043. Prime factorization of 56344 in exponential form is:

56344 = 2³ × 7043¹

Step-2: Prime Factorization of 56352

Prime factors of 56352 are 2, 3, 587. Prime factorization of 56352 in exponential form is:

56352 = 2⁵ × 3¹ × 587¹

Step-3: Factors of 56344

List of positive integer factors of 56344 that divides 56344 without a remainder.

1, 2, 4, 8, 7043, 14086, 28172

Step-4: Factors of 56352

List of positive integer factors of 56352 that divides 56344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 587, 1174, 1761, 2348, 3522, 4696, 7044, 9392, 14088, 18784, 28176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56344 and 56352. The biggest common factor number is the GCF number.
So the greatest common factor 56344 and 56352 is 8.

Also check out the Least Common Multiple of 56344 and 56352