What is the Greatest Common Factor of 68688 and 68705?

Greatest common factor (GCF) of 68688 and 68705 is 1.

GCF(68688,68705) = 1

We will now calculate the prime factors of 68688 and 68705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68688 and 68705.

How to find the GCF of 68688 and 68705?

We will first find the prime factorization of 68688 and 68705. After we will calculate the factors of 68688 and 68705 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 68705

Prime factors of 68705 are 5, 7, 13, 151. Prime factorization of 68705 in exponential form is:

68705 = 5¹ × 7¹ × 13¹ × 151¹

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 68705

List of positive integer factors of 68705 that divides 68688 without a remainder.

1, 5, 7, 13, 35, 65, 91, 151, 455, 755, 1057, 1963, 5285, 9815, 13741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68688 and 68705. The biggest common factor number is the GCF number.
So the greatest common factor 68688 and 68705 is 1.

Also check out the Least Common Multiple of 68688 and 68705