What is the Greatest Common Factor of 56352 and 56358?

Greatest common factor (GCF) of 56352 and 56358 is 6.

GCF(56352,56358) = 6

We will now calculate the prime factors of 56352 and 56358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56352 and 56358.

How to find the GCF of 56352 and 56358?

We will first find the prime factorization of 56352 and 56358. After we will calculate the factors of 56352 and 56358 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 56358

Prime factors of 56358 are 2, 3, 31, 101. Prime factorization of 56358 in exponential form is:

56358 = 2¹ × 3² × 31¹ × 101¹

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 56358

List of positive integer factors of 56358 that divides 56352 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 101, 186, 202, 279, 303, 558, 606, 909, 1818, 3131, 6262, 9393, 18786, 28179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56352 and 56358. The biggest common factor number is the GCF number.
So the greatest common factor 56352 and 56358 is 6.

Also check out the Least Common Multiple of 56352 and 56358