What is the Greatest Common Factor of 13599 and 13603?

Greatest common factor (GCF) of 13599 and 13603 is 1.

GCF(13599,13603) = 1

We will now calculate the prime factors of 13599 and 13603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13599 and 13603.

How to find the GCF of 13599 and 13603?

We will first find the prime factorization of 13599 and 13603. After we will calculate the factors of 13599 and 13603 and find the biggest common factor number .

Step-1: Prime Factorization of 13599

Prime factors of 13599 are 3, 1511. Prime factorization of 13599 in exponential form is:

13599 = 3² × 1511¹

Step-2: Prime Factorization of 13603

Prime factors of 13603 are 61, 223. Prime factorization of 13603 in exponential form is:

13603 = 61¹ × 223¹

Step-3: Factors of 13599

List of positive integer factors of 13599 that divides 13599 without a remainder.

1, 3, 9, 1511, 4533

Step-4: Factors of 13603

List of positive integer factors of 13603 that divides 13599 without a remainder.

1, 61, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13599 and 13603. The biggest common factor number is the GCF number.
So the greatest common factor 13599 and 13603 is 1.

Also check out the Least Common Multiple of 13599 and 13603