What is the Greatest Common Factor of 56364 and 56378?

Greatest common factor (GCF) of 56364 and 56378 is 14.

GCF(56364,56378) = 14

We will now calculate the prime factors of 56364 and 56378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56364 and 56378.

How to find the GCF of 56364 and 56378?

We will first find the prime factorization of 56364 and 56378. After we will calculate the factors of 56364 and 56378 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 56378

Prime factors of 56378 are 2, 7, 4027. Prime factorization of 56378 in exponential form is:

56378 = 2¹ × 7¹ × 4027¹

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 56378

List of positive integer factors of 56378 that divides 56364 without a remainder.

1, 2, 7, 14, 4027, 8054, 28189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56364 and 56378. The biggest common factor number is the GCF number.
So the greatest common factor 56364 and 56378 is 14.

Also check out the Least Common Multiple of 56364 and 56378