What is the Greatest Common Factor of 68904 and 68922?

Greatest common factor (GCF) of 68904 and 68922 is 18.

GCF(68904,68922) = 18

We will now calculate the prime factors of 68904 and 68922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68904 and 68922.

How to find the GCF of 68904 and 68922?

We will first find the prime factorization of 68904 and 68922. After we will calculate the factors of 68904 and 68922 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 68922

Prime factors of 68922 are 2, 3, 7, 547. Prime factorization of 68922 in exponential form is:

68922 = 2¹ × 3² × 7¹ × 547¹

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 68922

List of positive integer factors of 68922 that divides 68904 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 547, 1094, 1641, 3282, 3829, 4923, 7658, 9846, 11487, 22974, 34461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68904 and 68922. The biggest common factor number is the GCF number.
So the greatest common factor 68904 and 68922 is 18.

Also check out the Least Common Multiple of 68904 and 68922