What is the Greatest Common Factor of 68688 and 68708?

Greatest common factor (GCF) of 68688 and 68708 is 4.

GCF(68688,68708) = 4

We will now calculate the prime factors of 68688 and 68708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68688 and 68708.

How to find the GCF of 68688 and 68708?

We will first find the prime factorization of 68688 and 68708. After we will calculate the factors of 68688 and 68708 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 68708

Prime factors of 68708 are 2, 89, 193. Prime factorization of 68708 in exponential form is:

68708 = 2² × 89¹ × 193¹

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 68708

List of positive integer factors of 68708 that divides 68688 without a remainder.

1, 2, 4, 89, 178, 193, 356, 386, 772, 17177, 34354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68688 and 68708. The biggest common factor number is the GCF number.
So the greatest common factor 68688 and 68708 is 4.

Also check out the Least Common Multiple of 68688 and 68708