What is the Greatest Common Factor of 56352 and 56367?

Greatest common factor (GCF) of 56352 and 56367 is 3.

GCF(56352,56367) = 3

We will now calculate the prime factors of 56352 and 56367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56352 and 56367.

How to find the GCF of 56352 and 56367?

We will first find the prime factorization of 56352 and 56367. After we will calculate the factors of 56352 and 56367 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56367

Prime factors of 56367 are 3, 6263. Prime factorization of 56367 in exponential form is:

56367 = 3² × 6263¹

Step-3: Factors of 56352

List of positive integer factors of 56352 that divides 56352 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

Step-4: Factors of 56367

List of positive integer factors of 56367 that divides 56352 without a remainder.

1, 3, 9, 6263, 18789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56352 and 56367. The biggest common factor number is the GCF number.
So the greatest common factor 56352 and 56367 is 3.

Also check out the Least Common Multiple of 56352 and 56367