What is the Greatest Common Factor of 14003 and 14022?

Greatest common factor (GCF) of 14003 and 14022 is 19.

GCF(14003,14022) = 19

We will now calculate the prime factors of 14003 and 14022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14003 and 14022.

How to find the GCF of 14003 and 14022?

We will first find the prime factorization of 14003 and 14022. After we will calculate the factors of 14003 and 14022 and find the biggest common factor number .

Step-1: Prime Factorization of 14003

Prime factors of 14003 are 11, 19, 67. Prime factorization of 14003 in exponential form is:

14003 = 11¹ × 19¹ × 67¹

Step-2: 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-3: Factors of 14003

List of positive integer factors of 14003 that divides 14003 without a remainder.

1, 11, 19, 67, 209, 737, 1273

Step-4: Factors of 14022

List of positive integer factors of 14022 that divides 14003 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14003 and 14022. The biggest common factor number is the GCF number.
So the greatest common factor 14003 and 14022 is 19.

Also check out the Least Common Multiple of 14003 and 14022