What is the Greatest Common Factor of 44484 and 44502?

Greatest common factor (GCF) of 44484 and 44502 is 6.

GCF(44484,44502) = 6

We will now calculate the prime factors of 44484 and 44502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44484 and 44502.

How to find the GCF of 44484 and 44502?

We will first find the prime factorization of 44484 and 44502. After we will calculate the factors of 44484 and 44502 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 44502

Prime factors of 44502 are 2, 3, 7417. Prime factorization of 44502 in exponential form is:

44502 = 2¹ × 3¹ × 7417¹

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 44502

List of positive integer factors of 44502 that divides 44484 without a remainder.

1, 2, 3, 6, 7417, 14834, 22251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44484 and 44502. The biggest common factor number is the GCF number.
So the greatest common factor 44484 and 44502 is 6.

Also check out the Least Common Multiple of 44484 and 44502