What is the Greatest Common Factor of 13643 and 13653?

Greatest common factor (GCF) of 13643 and 13653 is 1.

GCF(13643,13653) = 1

We will now calculate the prime factors of 13643 and 13653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13643 and 13653.

How to find the GCF of 13643 and 13653?

We will first find the prime factorization of 13643 and 13653. After we will calculate the factors of 13643 and 13653 and find the biggest common factor number .

Step-1: Prime Factorization of 13643

Prime factors of 13643 are 7, 1949. Prime factorization of 13643 in exponential form is:

13643 = 7¹ × 1949¹

Step-2: Prime Factorization of 13653

Prime factors of 13653 are 3, 37, 41. Prime factorization of 13653 in exponential form is:

13653 = 3² × 37¹ × 41¹

Step-3: Factors of 13643

List of positive integer factors of 13643 that divides 13643 without a remainder.

1, 7, 1949

Step-4: Factors of 13653

List of positive integer factors of 13653 that divides 13643 without a remainder.

1, 3, 9, 37, 41, 111, 123, 333, 369, 1517, 4551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13643 and 13653. The biggest common factor number is the GCF number.
So the greatest common factor 13643 and 13653 is 1.

Also check out the Least Common Multiple of 13643 and 13653