What is the Greatest Common Factor of 68364 and 68376?

Greatest common factor (GCF) of 68364 and 68376 is 12.

GCF(68364,68376) = 12

We will now calculate the prime factors of 68364 and 68376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68364 and 68376.

How to find the GCF of 68364 and 68376?

We will first find the prime factorization of 68364 and 68376. After we will calculate the factors of 68364 and 68376 and find the biggest common factor number .

Step-1: Prime Factorization of 68364

Prime factors of 68364 are 2, 3, 211. Prime factorization of 68364 in exponential form is:

68364 = 2² × 3⁴ × 211¹

Step-2: Prime Factorization of 68376

Prime factors of 68376 are 2, 3, 7, 11, 37. Prime factorization of 68376 in exponential form is:

68376 = 2³ × 3¹ × 7¹ × 11¹ × 37¹

Step-3: Factors of 68364

List of positive integer factors of 68364 that divides 68364 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 211, 324, 422, 633, 844, 1266, 1899, 2532, 3798, 5697, 7596, 11394, 17091, 22788, 34182

Step-4: Factors of 68376

List of positive integer factors of 68376 that divides 68364 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 37, 42, 44, 56, 66, 74, 77, 84, 88, 111, 132, 148, 154, 168, 222, 231, 259, 264, 296, 308, 407, 444, 462, 518, 616, 777, 814, 888, 924, 1036, 1221, 1554, 1628, 1848, 2072, 2442, 2849, 3108, 3256, 4884, 5698, 6216, 8547, 9768, 11396, 17094, 22792, 34188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68364 and 68376. The biggest common factor number is the GCF number.
So the greatest common factor 68364 and 68376 is 12.

Also check out the Least Common Multiple of 68364 and 68376