What is the Greatest Common Factor of 44484 and 44498?

Greatest common factor (GCF) of 44484 and 44498 is 2.

GCF(44484,44498) = 2

We will now calculate the prime factors of 44484 and 44498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44484 and 44498.

How to find the GCF of 44484 and 44498?

We will first find the prime factorization of 44484 and 44498. After we will calculate the factors of 44484 and 44498 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 44498

Prime factors of 44498 are 2, 19, 1171. Prime factorization of 44498 in exponential form is:

44498 = 2¹ × 19¹ × 1171¹

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 44498

List of positive integer factors of 44498 that divides 44484 without a remainder.

1, 2, 19, 38, 1171, 2342, 22249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44484 and 44498. The biggest common factor number is the GCF number.
So the greatest common factor 44484 and 44498 is 2.

Also check out the Least Common Multiple of 44484 and 44498