What is the Greatest Common Factor of 13464 and 13471?

Greatest common factor (GCF) of 13464 and 13471 is 1.

GCF(13464,13471) = 1

We will now calculate the prime factors of 13464 and 13471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13464 and 13471.

How to find the GCF of 13464 and 13471?

We will first find the prime factorization of 13464 and 13471. After we will calculate the factors of 13464 and 13471 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 13471

Prime factors of 13471 are 19, 709. Prime factorization of 13471 in exponential form is:

13471 = 19¹ × 709¹

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 13471

List of positive integer factors of 13471 that divides 13464 without a remainder.

1, 19, 709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13464 and 13471. The biggest common factor number is the GCF number.
So the greatest common factor 13464 and 13471 is 1.

Also check out the Least Common Multiple of 13464 and 13471