What is the Greatest Common Factor of 68652 and 68670?

Greatest common factor (GCF) of 68652 and 68670 is 18.

GCF(68652,68670) = 18

We will now calculate the prime factors of 68652 and 68670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68652 and 68670.

How to find the GCF of 68652 and 68670?

We will first find the prime factorization of 68652 and 68670. After we will calculate the factors of 68652 and 68670 and find the biggest common factor number .

Step-1: Prime Factorization of 68652

Prime factors of 68652 are 2, 3, 1907. Prime factorization of 68652 in exponential form is:

68652 = 2² × 3² × 1907¹

Step-2: 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-3: Factors of 68652

List of positive integer factors of 68652 that divides 68652 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1907, 3814, 5721, 7628, 11442, 17163, 22884, 34326

Step-4: Factors of 68670

List of positive integer factors of 68670 that divides 68652 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68652 and 68670. The biggest common factor number is the GCF number.
So the greatest common factor 68652 and 68670 is 18.

Also check out the Least Common Multiple of 68652 and 68670