What is the Greatest Common Factor of 13997 and 14015?

Greatest common factor (GCF) of 13997 and 14015 is 1.

GCF(13997,14015) = 1

We will now calculate the prime factors of 13997 and 14015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13997 and 14015.

How to find the GCF of 13997 and 14015?

We will first find the prime factorization of 13997 and 14015. After we will calculate the factors of 13997 and 14015 and find the biggest common factor number .

Step-1: Prime Factorization of 13997

Prime factors of 13997 are 13997. Prime factorization of 13997 in exponential form is:

13997 = 13997¹

Step-2: Prime Factorization of 14015

Prime factors of 14015 are 5, 2803. Prime factorization of 14015 in exponential form is:

14015 = 5¹ × 2803¹

Step-3: Factors of 13997

List of positive integer factors of 13997 that divides 13997 without a remainder.

Step-4: Factors of 14015

List of positive integer factors of 14015 that divides 13997 without a remainder.

1, 5, 2803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13997 and 14015. The biggest common factor number is the GCF number.
So the greatest common factor 13997 and 14015 is 1.

Also check out the Least Common Multiple of 13997 and 14015