What is the Greatest Common Factor of 13604 and 13623?

Greatest common factor (GCF) of 13604 and 13623 is 19.

GCF(13604,13623) = 19

We will now calculate the prime factors of 13604 and 13623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13604 and 13623.

How to find the GCF of 13604 and 13623?

We will first find the prime factorization of 13604 and 13623. After we will calculate the factors of 13604 and 13623 and find the biggest common factor number .

Step-1: Prime Factorization of 13604

Prime factors of 13604 are 2, 19, 179. Prime factorization of 13604 in exponential form is:

13604 = 2² × 19¹ × 179¹

Step-2: 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-3: Factors of 13604

List of positive integer factors of 13604 that divides 13604 without a remainder.

1, 2, 4, 19, 38, 76, 179, 358, 716, 3401, 6802

Step-4: Factors of 13623

List of positive integer factors of 13623 that divides 13604 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13604 and 13623. The biggest common factor number is the GCF number.
So the greatest common factor 13604 and 13623 is 19.

Also check out the Least Common Multiple of 13604 and 13623