What is the Greatest Common Factor of 68637 and 68652?

Greatest common factor (GCF) of 68637 and 68652 is 3.

GCF(68637,68652) = 3

We will now calculate the prime factors of 68637 and 68652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68637 and 68652.

How to find the GCF of 68637 and 68652?

We will first find the prime factorization of 68637 and 68652. After we will calculate the factors of 68637 and 68652 and find the biggest common factor number .

Step-1: Prime Factorization of 68637

Prime factors of 68637 are 3, 137, 167. Prime factorization of 68637 in exponential form is:

68637 = 3¹ × 137¹ × 167¹

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 68637

List of positive integer factors of 68637 that divides 68637 without a remainder.

1, 3, 137, 167, 411, 501, 22879

Step-4: Factors of 68652

List of positive integer factors of 68652 that divides 68637 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 68637 and 68652. The biggest common factor number is the GCF number.
So the greatest common factor 68637 and 68652 is 3.

Also check out the Least Common Multiple of 68637 and 68652