What is the Greatest Common Factor of 13471 and 13484?

Greatest common factor (GCF) of 13471 and 13484 is 1.

GCF(13471,13484) = 1

We will now calculate the prime factors of 13471 and 13484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13471 and 13484.

How to find the GCF of 13471 and 13484?

We will first find the prime factorization of 13471 and 13484. After we will calculate the factors of 13471 and 13484 and find the biggest common factor number .

Step-1: Prime Factorization of 13471

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

13471 = 19¹ × 709¹

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 13471

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

1, 19, 709

Step-4: Factors of 13484

List of positive integer factors of 13484 that divides 13471 without a remainder.

1, 2, 4, 3371, 6742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13471 and 13484. The biggest common factor number is the GCF number.
So the greatest common factor 13471 and 13484 is 1.

Also check out the Least Common Multiple of 13471 and 13484