What is the Greatest Common Factor of 67635 and 67644?

Greatest common factor (GCF) of 67635 and 67644 is 9.

GCF(67635,67644) = 9

We will now calculate the prime factors of 67635 and 67644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67635 and 67644.

How to find the GCF of 67635 and 67644?

We will first find the prime factorization of 67635 and 67644. After we will calculate the factors of 67635 and 67644 and find the biggest common factor number .

Step-1: Prime Factorization of 67635

Prime factors of 67635 are 3, 5, 167. Prime factorization of 67635 in exponential form is:

67635 = 3⁴ × 5¹ × 167¹

Step-2: Prime Factorization of 67644

Prime factors of 67644 are 2, 3, 1879. Prime factorization of 67644 in exponential form is:

67644 = 2² × 3² × 1879¹

Step-3: Factors of 67635

List of positive integer factors of 67635 that divides 67635 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 167, 405, 501, 835, 1503, 2505, 4509, 7515, 13527, 22545

Step-4: Factors of 67644

List of positive integer factors of 67644 that divides 67635 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1879, 3758, 5637, 7516, 11274, 16911, 22548, 33822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67635 and 67644. The biggest common factor number is the GCF number.
So the greatest common factor 67635 and 67644 is 9.

Also check out the Least Common Multiple of 67635 and 67644