What is the Greatest Common Factor of 44244 and 44249?

Greatest common factor (GCF) of 44244 and 44249 is 1.

GCF(44244,44249) = 1

We will now calculate the prime factors of 44244 and 44249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44244 and 44249.

How to find the GCF of 44244 and 44249?

We will first find the prime factorization of 44244 and 44249. After we will calculate the factors of 44244 and 44249 and find the biggest common factor number .

Step-1: Prime Factorization of 44244

Prime factors of 44244 are 2, 3, 1229. Prime factorization of 44244 in exponential form is:

44244 = 2² × 3² × 1229¹

Step-2: Prime Factorization of 44249

Prime factors of 44249 are 44249. Prime factorization of 44249 in exponential form is:

44249 = 44249¹

Step-3: Factors of 44244

List of positive integer factors of 44244 that divides 44244 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1229, 2458, 3687, 4916, 7374, 11061, 14748, 22122

Step-4: Factors of 44249

List of positive integer factors of 44249 that divides 44244 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44244 and 44249. The biggest common factor number is the GCF number.
So the greatest common factor 44244 and 44249 is 1.

Also check out the Least Common Multiple of 44244 and 44249