What is the Greatest Common Factor of 13653 and 13661?

Greatest common factor (GCF) of 13653 and 13661 is 1.

GCF(13653,13661) = 1

We will now calculate the prime factors of 13653 and 13661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13653 and 13661.

How to find the GCF of 13653 and 13661?

We will first find the prime factorization of 13653 and 13661. After we will calculate the factors of 13653 and 13661 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13661

Prime factors of 13661 are 19, 719. Prime factorization of 13661 in exponential form is:

13661 = 19¹ × 719¹

Step-3: Factors of 13653

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

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

Step-4: Factors of 13661

List of positive integer factors of 13661 that divides 13653 without a remainder.

1, 19, 719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13653 and 13661. The biggest common factor number is the GCF number.
So the greatest common factor 13653 and 13661 is 1.

Also check out the Least Common Multiple of 13653 and 13661