What is the Greatest Common Factor of 68634 and 68652?

Greatest common factor (GCF) of 68634 and 68652 is 18.

GCF(68634,68652) = 18

We will now calculate the prime factors of 68634 and 68652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68634 and 68652.

How to find the GCF of 68634 and 68652?

We will first find the prime factorization of 68634 and 68652. After we will calculate the factors of 68634 and 68652 and find the biggest common factor number .

Step-1: Prime Factorization of 68634

Prime factors of 68634 are 2, 3, 31, 41. Prime factorization of 68634 in exponential form is:

68634 = 2¹ × 3³ × 31¹ × 41¹

Step-2: 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-3: Factors of 68634

List of positive integer factors of 68634 that divides 68634 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 41, 54, 62, 82, 93, 123, 186, 246, 279, 369, 558, 738, 837, 1107, 1271, 1674, 2214, 2542, 3813, 7626, 11439, 22878, 34317

Step-4: Factors of 68652

List of positive integer factors of 68652 that divides 68634 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68634 and 68652. The biggest common factor number is the GCF number.
So the greatest common factor 68634 and 68652 is 18.

Also check out the Least Common Multiple of 68634 and 68652