What is the Greatest Common Factor of 13470 and 13488?

Greatest common factor (GCF) of 13470 and 13488 is 6.

GCF(13470,13488) = 6

We will now calculate the prime factors of 13470 and 13488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13470 and 13488.

How to find the GCF of 13470 and 13488?

We will first find the prime factorization of 13470 and 13488. After we will calculate the factors of 13470 and 13488 and find the biggest common factor number .

Step-1: Prime Factorization of 13470

Prime factors of 13470 are 2, 3, 5, 449. Prime factorization of 13470 in exponential form is:

13470 = 2¹ × 3¹ × 5¹ × 449¹

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 13470

List of positive integer factors of 13470 that divides 13470 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 449, 898, 1347, 2245, 2694, 4490, 6735

Step-4: Factors of 13488

List of positive integer factors of 13488 that divides 13470 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 13470 and 13488. The biggest common factor number is the GCF number.
So the greatest common factor 13470 and 13488 is 6.

Also check out the Least Common Multiple of 13470 and 13488