What is the Greatest Common Factor of 56364 and 56376?

Greatest common factor (GCF) of 56364 and 56376 is 12.

GCF(56364,56376) = 12

We will now calculate the prime factors of 56364 and 56376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56364 and 56376.

How to find the GCF of 56364 and 56376?

We will first find the prime factorization of 56364 and 56376. After we will calculate the factors of 56364 and 56376 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 56376

Prime factors of 56376 are 2, 3, 29. Prime factorization of 56376 in exponential form is:

56376 = 2³ × 3⁵ × 29¹

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 56376

List of positive integer factors of 56376 that divides 56364 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 81, 87, 108, 116, 162, 174, 216, 232, 243, 261, 324, 348, 486, 522, 648, 696, 783, 972, 1044, 1566, 1944, 2088, 2349, 3132, 4698, 6264, 7047, 9396, 14094, 18792, 28188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56364 and 56376. The biggest common factor number is the GCF number.
So the greatest common factor 56364 and 56376 is 12.

Also check out the Least Common Multiple of 56364 and 56376