What is the Greatest Common Factor of 68370 and 68376?

Greatest common factor (GCF) of 68370 and 68376 is 6.

GCF(68370,68376) = 6

We will now calculate the prime factors of 68370 and 68376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68370 and 68376.

How to find the GCF of 68370 and 68376?

We will first find the prime factorization of 68370 and 68376. After we will calculate the factors of 68370 and 68376 and find the biggest common factor number .

Step-1: Prime Factorization of 68370

Prime factors of 68370 are 2, 3, 5, 43, 53. Prime factorization of 68370 in exponential form is:

68370 = 2¹ × 3¹ × 5¹ × 43¹ × 53¹

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 68370

List of positive integer factors of 68370 that divides 68370 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 53, 86, 106, 129, 159, 215, 258, 265, 318, 430, 530, 645, 795, 1290, 1590, 2279, 4558, 6837, 11395, 13674, 22790, 34185

Step-4: Factors of 68376

List of positive integer factors of 68376 that divides 68370 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 68370 and 68376. The biggest common factor number is the GCF number.
So the greatest common factor 68370 and 68376 is 6.

Also check out the Least Common Multiple of 68370 and 68376