What is the Greatest Common Factor of 14421 and 14440?

Greatest common factor (GCF) of 14421 and 14440 is 19.

GCF(14421,14440) = 19

We will now calculate the prime factors of 14421 and 14440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14421 and 14440.

How to find the GCF of 14421 and 14440?

We will first find the prime factorization of 14421 and 14440. After we will calculate the factors of 14421 and 14440 and find the biggest common factor number .

Step-1: Prime Factorization of 14421

Prime factors of 14421 are 3, 11, 19, 23. Prime factorization of 14421 in exponential form is:

14421 = 3¹ × 11¹ × 19¹ × 23¹

Step-2: Prime Factorization of 14440

Prime factors of 14440 are 2, 5, 19. Prime factorization of 14440 in exponential form is:

14440 = 2³ × 5¹ × 19²

Step-3: Factors of 14421

List of positive integer factors of 14421 that divides 14421 without a remainder.

1, 3, 11, 19, 23, 33, 57, 69, 209, 253, 437, 627, 759, 1311, 4807

Step-4: Factors of 14440

List of positive integer factors of 14440 that divides 14421 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 361, 380, 722, 760, 1444, 1805, 2888, 3610, 7220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14421 and 14440. The biggest common factor number is the GCF number.
So the greatest common factor 14421 and 14440 is 19.

Also check out the Least Common Multiple of 14421 and 14440