What is the Greatest Common Factor of 13478 and 13487?

Greatest common factor (GCF) of 13478 and 13487 is 1.

GCF(13478,13487) = 1

We will now calculate the prime factors of 13478 and 13487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13478 and 13487.

How to find the GCF of 13478 and 13487?

We will first find the prime factorization of 13478 and 13487. After we will calculate the factors of 13478 and 13487 and find the biggest common factor number .

Step-1: Prime Factorization of 13478

Prime factors of 13478 are 2, 23, 293. Prime factorization of 13478 in exponential form is:

13478 = 2¹ × 23¹ × 293¹

Step-2: Prime Factorization of 13487

Prime factors of 13487 are 13487. Prime factorization of 13487 in exponential form is:

13487 = 13487¹

Step-3: Factors of 13478

List of positive integer factors of 13478 that divides 13478 without a remainder.

1, 2, 23, 46, 293, 586, 6739

Step-4: Factors of 13487

List of positive integer factors of 13487 that divides 13478 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13478 and 13487. The biggest common factor number is the GCF number.
So the greatest common factor 13478 and 13487 is 1.

Also check out the Least Common Multiple of 13478 and 13487