What is the Greatest Common Factor of 10635 and 10647?

Greatest common factor (GCF) of 10635 and 10647 is 3.

GCF(10635,10647) = 3

We will now calculate the prime factors of 10635 and 10647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10635 and 10647.

How to find the GCF of 10635 and 10647?

We will first find the prime factorization of 10635 and 10647. After we will calculate the factors of 10635 and 10647 and find the biggest common factor number .

Step-1: Prime Factorization of 10635

Prime factors of 10635 are 3, 5, 709. Prime factorization of 10635 in exponential form is:

10635 = 3¹ × 5¹ × 709¹

Step-2: Prime Factorization of 10647

Prime factors of 10647 are 3, 7, 13. Prime factorization of 10647 in exponential form is:

10647 = 3² × 7¹ × 13²

Step-3: Factors of 10635

List of positive integer factors of 10635 that divides 10635 without a remainder.

1, 3, 5, 15, 709, 2127, 3545

Step-4: Factors of 10647

List of positive integer factors of 10647 that divides 10635 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 169, 273, 507, 819, 1183, 1521, 3549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10635 and 10647. The biggest common factor number is the GCF number.
So the greatest common factor 10635 and 10647 is 3.

Also check out the Least Common Multiple of 10635 and 10647