What is the Greatest Common Factor of 13995 and 14005?

Greatest common factor (GCF) of 13995 and 14005 is 5.

GCF(13995,14005) = 5

We will now calculate the prime factors of 13995 and 14005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13995 and 14005.

How to find the GCF of 13995 and 14005?

We will first find the prime factorization of 13995 and 14005. After we will calculate the factors of 13995 and 14005 and find the biggest common factor number .

Step-1: Prime Factorization of 13995

Prime factors of 13995 are 3, 5, 311. Prime factorization of 13995 in exponential form is:

13995 = 3² × 5¹ × 311¹

Step-2: Prime Factorization of 14005

Prime factors of 14005 are 5, 2801. Prime factorization of 14005 in exponential form is:

14005 = 5¹ × 2801¹

Step-3: Factors of 13995

List of positive integer factors of 13995 that divides 13995 without a remainder.

1, 3, 5, 9, 15, 45, 311, 933, 1555, 2799, 4665

Step-4: Factors of 14005

List of positive integer factors of 14005 that divides 13995 without a remainder.

1, 5, 2801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13995 and 14005. The biggest common factor number is the GCF number.
So the greatest common factor 13995 and 14005 is 5.

Also check out the Least Common Multiple of 13995 and 14005