What is the Greatest Common Factor of 68670 and 68688?

Greatest common factor (GCF) of 68670 and 68688 is 18.

GCF(68670,68688) = 18

We will now calculate the prime factors of 68670 and 68688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68670 and 68688.

How to find the GCF of 68670 and 68688?

We will first find the prime factorization of 68670 and 68688. After we will calculate the factors of 68670 and 68688 and find the biggest common factor number .

Step-1: Prime Factorization of 68670

Prime factors of 68670 are 2, 3, 5, 7, 109. Prime factorization of 68670 in exponential form is:

68670 = 2¹ × 3² × 5¹ × 7¹ × 109¹

Step-2: 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-3: Factors of 68670

List of positive integer factors of 68670 that divides 68670 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 109, 126, 210, 218, 315, 327, 545, 630, 654, 763, 981, 1090, 1526, 1635, 1962, 2289, 3270, 3815, 4578, 4905, 6867, 7630, 9810, 11445, 13734, 22890, 34335

Step-4: Factors of 68688

List of positive integer factors of 68688 that divides 68670 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68670 and 68688. The biggest common factor number is the GCF number.
So the greatest common factor 68670 and 68688 is 18.

Also check out the Least Common Multiple of 68670 and 68688