What is the Greatest Common Factor of 14111 and 14124?

Greatest common factor (GCF) of 14111 and 14124 is 1.

GCF(14111,14124) = 1

We will now calculate the prime factors of 14111 and 14124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14111 and 14124.

How to find the GCF of 14111 and 14124?

We will first find the prime factorization of 14111 and 14124. After we will calculate the factors of 14111 and 14124 and find the biggest common factor number .

Step-1: Prime Factorization of 14111

Prime factors of 14111 are 103, 137. Prime factorization of 14111 in exponential form is:

14111 = 103¹ × 137¹

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 14111

List of positive integer factors of 14111 that divides 14111 without a remainder.

1, 103, 137

Step-4: Factors of 14124

List of positive integer factors of 14124 that divides 14111 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 14111 and 14124. The biggest common factor number is the GCF number.
So the greatest common factor 14111 and 14124 is 1.

Also check out the Least Common Multiple of 14111 and 14124