What is the Greatest Common Factor of 68365 and 68376?

Greatest common factor (GCF) of 68365 and 68376 is 11.

GCF(68365,68376) = 11

We will now calculate the prime factors of 68365 and 68376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68365 and 68376.

How to find the GCF of 68365 and 68376?

We will first find the prime factorization of 68365 and 68376. After we will calculate the factors of 68365 and 68376 and find the biggest common factor number .

Step-1: Prime Factorization of 68365

Prime factors of 68365 are 5, 11, 113. Prime factorization of 68365 in exponential form is:

68365 = 5¹ × 11² × 113¹

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 68365

List of positive integer factors of 68365 that divides 68365 without a remainder.

1, 5, 11, 55, 113, 121, 565, 605, 1243, 6215, 13673

Step-4: Factors of 68376

List of positive integer factors of 68376 that divides 68365 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 68365 and 68376. The biggest common factor number is the GCF number.
So the greatest common factor 68365 and 68376 is 11.

Also check out the Least Common Multiple of 68365 and 68376