What is the Greatest Common Factor of 68688 and 68706?

Greatest common factor (GCF) of 68688 and 68706 is 18.

GCF(68688,68706) = 18

We will now calculate the prime factors of 68688 and 68706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68688 and 68706.

How to find the GCF of 68688 and 68706?

We will first find the prime factorization of 68688 and 68706. After we will calculate the factors of 68688 and 68706 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 68706

Prime factors of 68706 are 2, 3, 11, 347. Prime factorization of 68706 in exponential form is:

68706 = 2¹ × 3² × 11¹ × 347¹

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 68706

List of positive integer factors of 68706 that divides 68688 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 347, 694, 1041, 2082, 3123, 3817, 6246, 7634, 11451, 22902, 34353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68688 and 68706. The biggest common factor number is the GCF number.
So the greatest common factor 68688 and 68706 is 18.

Also check out the Least Common Multiple of 68688 and 68706