What is the Greatest Common Factor of 68376 and 68390?

Greatest common factor (GCF) of 68376 and 68390 is 14.

GCF(68376,68390) = 14

We will now calculate the prime factors of 68376 and 68390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68376 and 68390.

How to find the GCF of 68376 and 68390?

We will first find the prime factorization of 68376 and 68390. After we will calculate the factors of 68376 and 68390 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68390

Prime factors of 68390 are 2, 5, 7, 977. Prime factorization of 68390 in exponential form is:

68390 = 2¹ × 5¹ × 7¹ × 977¹

Step-3: Factors of 68376

List of positive integer factors of 68376 that divides 68376 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

Step-4: Factors of 68390

List of positive integer factors of 68390 that divides 68376 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 977, 1954, 4885, 6839, 9770, 13678, 34195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68376 and 68390. The biggest common factor number is the GCF number.
So the greatest common factor 68376 and 68390 is 14.

Also check out the Least Common Multiple of 68376 and 68390