What is the Greatest Common Factor of 14109 and 14124?

Greatest common factor (GCF) of 14109 and 14124 is 3.

GCF(14109,14124) = 3

We will now calculate the prime factors of 14109 and 14124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14109 and 14124.

How to find the GCF of 14109 and 14124?

We will first find the prime factorization of 14109 and 14124. After we will calculate the factors of 14109 and 14124 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 14124

Prime factors of 14124 are 2, 3, 11, 107. Prime factorization of 14124 in exponential form is:

14124 = 2² × 3¹ × 11¹ × 107¹

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 14124

List of positive integer factors of 14124 that divides 14109 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 107, 132, 214, 321, 428, 642, 1177, 1284, 2354, 3531, 4708, 7062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14109 and 14124. The biggest common factor number is the GCF number.
So the greatest common factor 14109 and 14124 is 3.

Also check out the Least Common Multiple of 14109 and 14124