What is the Greatest Common Factor of 13623 and 13627?

Greatest common factor (GCF) of 13623 and 13627 is 1.

GCF(13623,13627) = 1

We will now calculate the prime factors of 13623 and 13627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13623 and 13627.

How to find the GCF of 13623 and 13627?

We will first find the prime factorization of 13623 and 13627. After we will calculate the factors of 13623 and 13627 and find the biggest common factor number .

Step-1: Prime Factorization of 13623

Prime factors of 13623 are 3, 19, 239. Prime factorization of 13623 in exponential form is:

13623 = 3¹ × 19¹ × 239¹

Step-2: Prime Factorization of 13627

Prime factors of 13627 are 13627. Prime factorization of 13627 in exponential form is:

13627 = 13627¹

Step-3: Factors of 13623

List of positive integer factors of 13623 that divides 13623 without a remainder.

1, 3, 19, 57, 239, 717, 4541

Step-4: Factors of 13627

List of positive integer factors of 13627 that divides 13623 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13623 and 13627. The biggest common factor number is the GCF number.
So the greatest common factor 13623 and 13627 is 1.

Also check out the Least Common Multiple of 13623 and 13627