What is the Greatest Common Factor of 44403 and 44421?

Greatest common factor (GCF) of 44403 and 44421 is 3.

GCF(44403,44421) = 3

We will now calculate the prime factors of 44403 and 44421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44403 and 44421.

How to find the GCF of 44403 and 44421?

We will first find the prime factorization of 44403 and 44421. After we will calculate the factors of 44403 and 44421 and find the biggest common factor number .

Step-1: Prime Factorization of 44403

Prime factors of 44403 are 3, 19, 41. Prime factorization of 44403 in exponential form is:

44403 = 3¹ × 19² × 41¹

Step-2: Prime Factorization of 44421

Prime factors of 44421 are 3, 13, 17, 67. Prime factorization of 44421 in exponential form is:

44421 = 3¹ × 13¹ × 17¹ × 67¹

Step-3: Factors of 44403

List of positive integer factors of 44403 that divides 44403 without a remainder.

1, 3, 19, 41, 57, 123, 361, 779, 1083, 2337, 14801

Step-4: Factors of 44421

List of positive integer factors of 44421 that divides 44403 without a remainder.

1, 3, 13, 17, 39, 51, 67, 201, 221, 663, 871, 1139, 2613, 3417, 14807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44403 and 44421. The biggest common factor number is the GCF number.
So the greatest common factor 44403 and 44421 is 3.

Also check out the Least Common Multiple of 44403 and 44421