What is the Greatest Common Factor of 44225 and 44244?

Greatest common factor (GCF) of 44225 and 44244 is 1.

GCF(44225,44244) = 1

We will now calculate the prime factors of 44225 and 44244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44225 and 44244.

How to find the GCF of 44225 and 44244?

We will first find the prime factorization of 44225 and 44244. After we will calculate the factors of 44225 and 44244 and find the biggest common factor number .

Step-1: Prime Factorization of 44225

Prime factors of 44225 are 5, 29, 61. Prime factorization of 44225 in exponential form is:

44225 = 5² × 29¹ × 61¹

Step-2: 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-3: Factors of 44225

List of positive integer factors of 44225 that divides 44225 without a remainder.

1, 5, 25, 29, 61, 145, 305, 725, 1525, 1769, 8845

Step-4: Factors of 44244

List of positive integer factors of 44244 that divides 44225 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44225 and 44244. The biggest common factor number is the GCF number.
So the greatest common factor 44225 and 44244 is 1.

Also check out the Least Common Multiple of 44225 and 44244