What is the Greatest Common Factor of 14022 and 14037?

Greatest common factor (GCF) of 14022 and 14037 is 3.

GCF(14022,14037) = 3

We will now calculate the prime factors of 14022 and 14037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14022 and 14037.

How to find the GCF of 14022 and 14037?

We will first find the prime factorization of 14022 and 14037. After we will calculate the factors of 14022 and 14037 and find the biggest common factor number .

Step-1: Prime Factorization of 14022

Prime factors of 14022 are 2, 3, 19, 41. Prime factorization of 14022 in exponential form is:

14022 = 2¹ × 3² × 19¹ × 41¹

Step-2: Prime Factorization of 14037

Prime factors of 14037 are 3, 4679. Prime factorization of 14037 in exponential form is:

14037 = 3¹ × 4679¹

Step-3: Factors of 14022

List of positive integer factors of 14022 that divides 14022 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 41, 57, 82, 114, 123, 171, 246, 342, 369, 738, 779, 1558, 2337, 4674, 7011

Step-4: Factors of 14037

List of positive integer factors of 14037 that divides 14022 without a remainder.

1, 3, 4679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14022 and 14037. The biggest common factor number is the GCF number.
So the greatest common factor 14022 and 14037 is 3.

Also check out the Least Common Multiple of 14022 and 14037