What is the Greatest Common Factor of 68892 and 68904?

Greatest common factor (GCF) of 68892 and 68904 is 12.

GCF(68892,68904) = 12

We will now calculate the prime factors of 68892 and 68904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68892 and 68904.

How to find the GCF of 68892 and 68904?

We will first find the prime factorization of 68892 and 68904. After we will calculate the factors of 68892 and 68904 and find the biggest common factor number .

Step-1: Prime Factorization of 68892

Prime factors of 68892 are 2, 3, 5741. Prime factorization of 68892 in exponential form is:

68892 = 2² × 3¹ × 5741¹

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 68892

List of positive integer factors of 68892 that divides 68892 without a remainder.

1, 2, 3, 4, 6, 12, 5741, 11482, 17223, 22964, 34446

Step-4: Factors of 68904

List of positive integer factors of 68904 that divides 68892 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 68892 and 68904. The biggest common factor number is the GCF number.
So the greatest common factor 68892 and 68904 is 12.

Also check out the Least Common Multiple of 68892 and 68904