What is the Greatest Common Factor of 68904 and 68915?

Greatest common factor (GCF) of 68904 and 68915 is 11.

GCF(68904,68915) = 11

We will now calculate the prime factors of 68904 and 68915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68904 and 68915.

How to find the GCF of 68904 and 68915?

We will first find the prime factorization of 68904 and 68915. After we will calculate the factors of 68904 and 68915 and find the biggest common factor number .

Step-1: Prime Factorization of 68904

Prime factors of 68904 are 2, 3, 11, 29. Prime factorization of 68904 in exponential form is:

68904 = 2³ × 3³ × 11¹ × 29¹

Step-2: Prime Factorization of 68915

Prime factors of 68915 are 5, 7, 11, 179. Prime factorization of 68915 in exponential form is:

68915 = 5¹ × 7¹ × 11¹ × 179¹

Step-3: Factors of 68904

List of positive integer factors of 68904 that divides 68904 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 29, 33, 36, 44, 54, 58, 66, 72, 87, 88, 99, 108, 116, 132, 174, 198, 216, 232, 261, 264, 297, 319, 348, 396, 522, 594, 638, 696, 783, 792, 957, 1044, 1188, 1276, 1566, 1914, 2088, 2376, 2552, 2871, 3132, 3828, 5742, 6264, 7656, 8613, 11484, 17226, 22968, 34452

Step-4: Factors of 68915

List of positive integer factors of 68915 that divides 68904 without a remainder.

1, 5, 7, 11, 35, 55, 77, 179, 385, 895, 1253, 1969, 6265, 9845, 13783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68904 and 68915. The biggest common factor number is the GCF number.
So the greatest common factor 68904 and 68915 is 11.

Also check out the Least Common Multiple of 68904 and 68915