What is the Greatest Common Factor of 56364 and 56382?

Greatest common factor (GCF) of 56364 and 56382 is 6.

GCF(56364,56382) = 6

We will now calculate the prime factors of 56364 and 56382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56364 and 56382.

How to find the GCF of 56364 and 56382?

We will first find the prime factorization of 56364 and 56382. After we will calculate the factors of 56364 and 56382 and find the biggest common factor number .

Step-1: Prime Factorization of 56364

Prime factors of 56364 are 2, 3, 7, 11, 61. Prime factorization of 56364 in exponential form is:

56364 = 2² × 3¹ × 7¹ × 11¹ × 61¹

Step-2: Prime Factorization of 56382

Prime factors of 56382 are 2, 3, 9397. Prime factorization of 56382 in exponential form is:

56382 = 2¹ × 3¹ × 9397¹

Step-3: Factors of 56364

List of positive integer factors of 56364 that divides 56364 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 61, 66, 77, 84, 122, 132, 154, 183, 231, 244, 308, 366, 427, 462, 671, 732, 854, 924, 1281, 1342, 1708, 2013, 2562, 2684, 4026, 4697, 5124, 8052, 9394, 14091, 18788, 28182

Step-4: Factors of 56382

List of positive integer factors of 56382 that divides 56364 without a remainder.

1, 2, 3, 6, 9397, 18794, 28191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56364 and 56382. The biggest common factor number is the GCF number.
So the greatest common factor 56364 and 56382 is 6.

Also check out the Least Common Multiple of 56364 and 56382