What is the Greatest Common Factor of 67635 and 67641?

Greatest common factor (GCF) of 67635 and 67641 is 3.

GCF(67635,67641) = 3

We will now calculate the prime factors of 67635 and 67641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67635 and 67641.

How to find the GCF of 67635 and 67641?

We will first find the prime factorization of 67635 and 67641. After we will calculate the factors of 67635 and 67641 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 67641

Prime factors of 67641 are 3, 7, 3221. Prime factorization of 67641 in exponential form is:

67641 = 3¹ × 7¹ × 3221¹

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 67641

List of positive integer factors of 67641 that divides 67635 without a remainder.

1, 3, 7, 21, 3221, 9663, 22547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67635 and 67641. The biggest common factor number is the GCF number.
So the greatest common factor 67635 and 67641 is 3.

Also check out the Least Common Multiple of 67635 and 67641