What is the Greatest Common Factor of 13464 and 13474?

Greatest common factor (GCF) of 13464 and 13474 is 2.

GCF(13464,13474) = 2

We will now calculate the prime factors of 13464 and 13474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13464 and 13474.

How to find the GCF of 13464 and 13474?

We will first find the prime factorization of 13464 and 13474. After we will calculate the factors of 13464 and 13474 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 13474

Prime factors of 13474 are 2, 6737. Prime factorization of 13474 in exponential form is:

13474 = 2¹ × 6737¹

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 13474

List of positive integer factors of 13474 that divides 13464 without a remainder.

1, 2, 6737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13464 and 13474. The biggest common factor number is the GCF number.
So the greatest common factor 13464 and 13474 is 2.

Also check out the Least Common Multiple of 13464 and 13474