What is the Greatest Common Factor of 14022 and 14041?

Greatest common factor (GCF) of 14022 and 14041 is 19.

GCF(14022,14041) = 19

We will now calculate the prime factors of 14022 and 14041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14022 and 14041.

How to find the GCF of 14022 and 14041?

We will first find the prime factorization of 14022 and 14041. After we will calculate the factors of 14022 and 14041 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 14041

Prime factors of 14041 are 19, 739. Prime factorization of 14041 in exponential form is:

14041 = 19¹ × 739¹

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 14041

List of positive integer factors of 14041 that divides 14022 without a remainder.

1, 19, 739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14022 and 14041. The biggest common factor number is the GCF number.
So the greatest common factor 14022 and 14041 is 19.

Also check out the Least Common Multiple of 14022 and 14041