What is the Greatest Common Factor of 13464 and 13476?

Greatest common factor (GCF) of 13464 and 13476 is 12.

GCF(13464,13476) = 12

We will now calculate the prime factors of 13464 and 13476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13464 and 13476.

How to find the GCF of 13464 and 13476?

We will first find the prime factorization of 13464 and 13476. After we will calculate the factors of 13464 and 13476 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 13476

Prime factors of 13476 are 2, 3, 1123. Prime factorization of 13476 in exponential form is:

13476 = 2² × 3¹ × 1123¹

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 13476

List of positive integer factors of 13476 that divides 13464 without a remainder.

1, 2, 3, 4, 6, 12, 1123, 2246, 3369, 4492, 6738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13464 and 13476. The biggest common factor number is the GCF number.
So the greatest common factor 13464 and 13476 is 12.

Also check out the Least Common Multiple of 13464 and 13476