What is the Greatest Common Factor of 13464 and 13484?

Greatest common factor (GCF) of 13464 and 13484 is 4.

GCF(13464,13484) = 4

We will now calculate the prime factors of 13464 and 13484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13464 and 13484.

How to find the GCF of 13464 and 13484?

We will first find the prime factorization of 13464 and 13484. After we will calculate the factors of 13464 and 13484 and find the biggest common factor number .

Step-1: Prime Factorization of 13464

Prime factors of 13464 are 2, 3, 11, 17. Prime factorization of 13464 in exponential form is:

13464 = 2³ × 3² × 11¹ × 17¹

Step-2: Prime Factorization of 13484

Prime factors of 13484 are 2, 3371. Prime factorization of 13484 in exponential form is:

13484 = 2² × 3371¹

Step-3: Factors of 13464

List of positive integer factors of 13464 that divides 13464 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 17, 18, 22, 24, 33, 34, 36, 44, 51, 66, 68, 72, 88, 99, 102, 132, 136, 153, 187, 198, 204, 264, 306, 374, 396, 408, 561, 612, 748, 792, 1122, 1224, 1496, 1683, 2244, 3366, 4488, 6732

Step-4: Factors of 13484

List of positive integer factors of 13484 that divides 13464 without a remainder.

1, 2, 4, 3371, 6742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13464 and 13484. The biggest common factor number is the GCF number.
So the greatest common factor 13464 and 13484 is 4.

Also check out the Least Common Multiple of 13464 and 13484