What is the Greatest Common Factor of 56340 and 56352?

Greatest common factor (GCF) of 56340 and 56352 is 12.

GCF(56340,56352) = 12

We will now calculate the prime factors of 56340 and 56352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56340 and 56352.

How to find the GCF of 56340 and 56352?

We will first find the prime factorization of 56340 and 56352. After we will calculate the factors of 56340 and 56352 and find the biggest common factor number .

Step-1: Prime Factorization of 56340

Prime factors of 56340 are 2, 3, 5, 313. Prime factorization of 56340 in exponential form is:

56340 = 2² × 3² × 5¹ × 313¹

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 56340

List of positive integer factors of 56340 that divides 56340 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 313, 626, 939, 1252, 1565, 1878, 2817, 3130, 3756, 4695, 5634, 6260, 9390, 11268, 14085, 18780, 28170

Step-4: Factors of 56352

List of positive integer factors of 56352 that divides 56340 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 56340 and 56352. The biggest common factor number is the GCF number.
So the greatest common factor 56340 and 56352 is 12.

Also check out the Least Common Multiple of 56340 and 56352