What is the Greatest Common Factor of 14097 and 14109?

Greatest common factor (GCF) of 14097 and 14109 is 3.

GCF(14097,14109) = 3

We will now calculate the prime factors of 14097 and 14109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14097 and 14109.

How to find the GCF of 14097 and 14109?

We will first find the prime factorization of 14097 and 14109. After we will calculate the factors of 14097 and 14109 and find the biggest common factor number .

Step-1: Prime Factorization of 14097

Prime factors of 14097 are 3, 37, 127. Prime factorization of 14097 in exponential form is:

14097 = 3¹ × 37¹ × 127¹

Step-2: Prime Factorization of 14109

Prime factors of 14109 are 3, 4703. Prime factorization of 14109 in exponential form is:

14109 = 3¹ × 4703¹

Step-3: Factors of 14097

List of positive integer factors of 14097 that divides 14097 without a remainder.

1, 3, 37, 111, 127, 381, 4699

Step-4: Factors of 14109

List of positive integer factors of 14109 that divides 14097 without a remainder.

1, 3, 4703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14097 and 14109. The biggest common factor number is the GCF number.
So the greatest common factor 14097 and 14109 is 3.

Also check out the Least Common Multiple of 14097 and 14109