What is the Greatest Common Factor of 68889 and 68904?

Greatest common factor (GCF) of 68889 and 68904 is 3.

GCF(68889,68904) = 3

We will now calculate the prime factors of 68889 and 68904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68889 and 68904.

How to find the GCF of 68889 and 68904?

We will first find the prime factorization of 68889 and 68904. After we will calculate the factors of 68889 and 68904 and find the biggest common factor number .

Step-1: Prime Factorization of 68889

Prime factors of 68889 are 3, 22963. Prime factorization of 68889 in exponential form is:

68889 = 3¹ × 22963¹

Step-2: 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-3: Factors of 68889

List of positive integer factors of 68889 that divides 68889 without a remainder.

1, 3, 22963

Step-4: Factors of 68904

List of positive integer factors of 68904 that divides 68889 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68889 and 68904. The biggest common factor number is the GCF number.
So the greatest common factor 68889 and 68904 is 3.

Also check out the Least Common Multiple of 68889 and 68904