What is the Greatest Common Factor of 68652 and 68664?

Greatest common factor (GCF) of 68652 and 68664 is 12.

GCF(68652,68664) = 12

We will now calculate the prime factors of 68652 and 68664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68652 and 68664.

How to find the GCF of 68652 and 68664?

We will first find the prime factorization of 68652 and 68664. After we will calculate the factors of 68652 and 68664 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 68664

Prime factors of 68664 are 2, 3, 2861. Prime factorization of 68664 in exponential form is:

68664 = 2³ × 3¹ × 2861¹

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 68664

List of positive integer factors of 68664 that divides 68652 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2861, 5722, 8583, 11444, 17166, 22888, 34332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68652 and 68664. The biggest common factor number is the GCF number.
So the greatest common factor 68652 and 68664 is 12.

Also check out the Least Common Multiple of 68652 and 68664