What is the Greatest Common Factor of 44484 and 44493?

Greatest common factor (GCF) of 44484 and 44493 is 3.

GCF(44484,44493) = 3

We will now calculate the prime factors of 44484 and 44493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44484 and 44493.

How to find the GCF of 44484 and 44493?

We will first find the prime factorization of 44484 and 44493. After we will calculate the factors of 44484 and 44493 and find the biggest common factor number .

Step-1: Prime Factorization of 44484

Prime factors of 44484 are 2, 3, 11, 337. Prime factorization of 44484 in exponential form is:

44484 = 2² × 3¹ × 11¹ × 337¹

Step-2: Prime Factorization of 44493

Prime factors of 44493 are 3, 14831. Prime factorization of 44493 in exponential form is:

44493 = 3¹ × 14831¹

Step-3: Factors of 44484

List of positive integer factors of 44484 that divides 44484 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 337, 674, 1011, 1348, 2022, 3707, 4044, 7414, 11121, 14828, 22242

Step-4: Factors of 44493

List of positive integer factors of 44493 that divides 44484 without a remainder.

1, 3, 14831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44484 and 44493. The biggest common factor number is the GCF number.
So the greatest common factor 44484 and 44493 is 3.

Also check out the Least Common Multiple of 44484 and 44493