What is the Greatest Common Factor of 14421 and 14436?

Greatest common factor (GCF) of 14421 and 14436 is 3.

GCF(14421,14436) = 3

We will now calculate the prime factors of 14421 and 14436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14421 and 14436.

How to find the GCF of 14421 and 14436?

We will first find the prime factorization of 14421 and 14436. After we will calculate the factors of 14421 and 14436 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 14436

Prime factors of 14436 are 2, 3, 401. Prime factorization of 14436 in exponential form is:

14436 = 2² × 3² × 401¹

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 14436

List of positive integer factors of 14436 that divides 14421 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 401, 802, 1203, 1604, 2406, 3609, 4812, 7218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14421 and 14436. The biggest common factor number is the GCF number.
So the greatest common factor 14421 and 14436 is 3.

Also check out the Least Common Multiple of 14421 and 14436