What is the Greatest Common Factor of 68688 and 68694?

Greatest common factor (GCF) of 68688 and 68694 is 6.

GCF(68688,68694) = 6

We will now calculate the prime factors of 68688 and 68694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68688 and 68694.

How to find the GCF of 68688 and 68694?

We will first find the prime factorization of 68688 and 68694. After we will calculate the factors of 68688 and 68694 and find the biggest common factor number .

Step-1: Prime Factorization of 68688

Prime factors of 68688 are 2, 3, 53. Prime factorization of 68688 in exponential form is:

68688 = 2⁴ × 3⁴ × 53¹

Step-2: Prime Factorization of 68694

Prime factors of 68694 are 2, 3, 107. Prime factorization of 68694 in exponential form is:

68694 = 2¹ × 3¹ × 107²

Step-3: Factors of 68688

List of positive integer factors of 68688 that divides 68688 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 53, 54, 72, 81, 106, 108, 144, 159, 162, 212, 216, 318, 324, 424, 432, 477, 636, 648, 848, 954, 1272, 1296, 1431, 1908, 2544, 2862, 3816, 4293, 5724, 7632, 8586, 11448, 17172, 22896, 34344

Step-4: Factors of 68694

List of positive integer factors of 68694 that divides 68688 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642, 11449, 22898, 34347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68688 and 68694. The biggest common factor number is the GCF number.
So the greatest common factor 68688 and 68694 is 6.

Also check out the Least Common Multiple of 68688 and 68694