What is the Greatest Common Factor of 68886 and 68904?

Greatest common factor (GCF) of 68886 and 68904 is 18.

GCF(68886,68904) = 18

We will now calculate the prime factors of 68886 and 68904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68886 and 68904.

How to find the GCF of 68886 and 68904?

We will first find the prime factorization of 68886 and 68904. After we will calculate the factors of 68886 and 68904 and find the biggest common factor number .

Step-1: Prime Factorization of 68886

Prime factors of 68886 are 2, 3, 43, 89. Prime factorization of 68886 in exponential form is:

68886 = 2¹ × 3² × 43¹ × 89¹

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 68886

List of positive integer factors of 68886 that divides 68886 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 89, 129, 178, 258, 267, 387, 534, 774, 801, 1602, 3827, 7654, 11481, 22962, 34443

Step-4: Factors of 68904

List of positive integer factors of 68904 that divides 68886 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 68886 and 68904. The biggest common factor number is the GCF number.
So the greatest common factor 68886 and 68904 is 18.

Also check out the Least Common Multiple of 68886 and 68904