What is the Greatest Common Factor of 44484 and 44500?

Greatest common factor (GCF) of 44484 and 44500 is 4.

GCF(44484,44500) = 4

We will now calculate the prime factors of 44484 and 44500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44484 and 44500.

How to find the GCF of 44484 and 44500?

We will first find the prime factorization of 44484 and 44500. After we will calculate the factors of 44484 and 44500 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 44500

Prime factors of 44500 are 2, 5, 89. Prime factorization of 44500 in exponential form is:

44500 = 2² × 5³ × 89¹

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 44500

List of positive integer factors of 44500 that divides 44484 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 125, 178, 250, 356, 445, 500, 890, 1780, 2225, 4450, 8900, 11125, 22250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44484 and 44500. The biggest common factor number is the GCF number.
So the greatest common factor 44484 and 44500 is 4.

Also check out the Least Common Multiple of 44484 and 44500