What is the Greatest Common Factor of 68904 and 68920?

Greatest common factor (GCF) of 68904 and 68920 is 8.

GCF(68904,68920) = 8

We will now calculate the prime factors of 68904 and 68920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68904 and 68920.

How to find the GCF of 68904 and 68920?

We will first find the prime factorization of 68904 and 68920. After we will calculate the factors of 68904 and 68920 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 68920

Prime factors of 68920 are 2, 5, 1723. Prime factorization of 68920 in exponential form is:

68920 = 2³ × 5¹ × 1723¹

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 68920

List of positive integer factors of 68920 that divides 68904 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1723, 3446, 6892, 8615, 13784, 17230, 34460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68904 and 68920. The biggest common factor number is the GCF number.
So the greatest common factor 68904 and 68920 is 8.

Also check out the Least Common Multiple of 68904 and 68920