What is the Greatest Common Factor of 13480 and 13488?

Greatest common factor (GCF) of 13480 and 13488 is 8.

GCF(13480,13488) = 8

We will now calculate the prime factors of 13480 and 13488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13480 and 13488.

How to find the GCF of 13480 and 13488?

We will first find the prime factorization of 13480 and 13488. After we will calculate the factors of 13480 and 13488 and find the biggest common factor number .

Step-1: Prime Factorization of 13480

Prime factors of 13480 are 2, 5, 337. Prime factorization of 13480 in exponential form is:

13480 = 2³ × 5¹ × 337¹

Step-2: 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-3: Factors of 13480

List of positive integer factors of 13480 that divides 13480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 337, 674, 1348, 1685, 2696, 3370, 6740

Step-4: Factors of 13488

List of positive integer factors of 13488 that divides 13480 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13480 and 13488. The biggest common factor number is the GCF number.
So the greatest common factor 13480 and 13488 is 8.

Also check out the Least Common Multiple of 13480 and 13488