What is the Greatest Common Factor of 14109 and 14127?

Greatest common factor (GCF) of 14109 and 14127 is 3.

GCF(14109,14127) = 3

We will now calculate the prime factors of 14109 and 14127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14109 and 14127.

How to find the GCF of 14109 and 14127?

We will first find the prime factorization of 14109 and 14127. After we will calculate the factors of 14109 and 14127 and find the biggest common factor number .

Step-1: Prime Factorization of 14109

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

14109 = 3¹ × 4703¹

Step-2: Prime Factorization of 14127

Prime factors of 14127 are 3, 17, 277. Prime factorization of 14127 in exponential form is:

14127 = 3¹ × 17¹ × 277¹

Step-3: Factors of 14109

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

1, 3, 4703

Step-4: Factors of 14127

List of positive integer factors of 14127 that divides 14109 without a remainder.

1, 3, 17, 51, 277, 831, 4709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14109 and 14127. The biggest common factor number is the GCF number.
So the greatest common factor 14109 and 14127 is 3.

Also check out the Least Common Multiple of 14109 and 14127