What is the Greatest Common Factor of 13488 and 13499?

Greatest common factor (GCF) of 13488 and 13499 is 1.

GCF(13488,13499) = 1

We will now calculate the prime factors of 13488 and 13499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13488 and 13499.

How to find the GCF of 13488 and 13499?

We will first find the prime factorization of 13488 and 13499. After we will calculate the factors of 13488 and 13499 and find the biggest common factor number .

Step-1: Prime Factorization of 13488

Prime factors of 13488 are 2, 3, 281. Prime factorization of 13488 in exponential form is:

13488 = 2⁴ × 3¹ × 281¹

Step-2: Prime Factorization of 13499

Prime factors of 13499 are 13499. Prime factorization of 13499 in exponential form is:

13499 = 13499¹

Step-3: Factors of 13488

List of positive integer factors of 13488 that divides 13488 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 281, 562, 843, 1124, 1686, 2248, 3372, 4496, 6744

Step-4: Factors of 13499

List of positive integer factors of 13499 that divides 13488 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13488 and 13499. The biggest common factor number is the GCF number.
So the greatest common factor 13488 and 13499 is 1.

Also check out the Least Common Multiple of 13488 and 13499