What is the Greatest Common Factor of 44438 and 44444?

Greatest common factor (GCF) of 44438 and 44444 is 2.

GCF(44438,44444) = 2

We will now calculate the prime factors of 44438 and 44444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44438 and 44444.

How to find the GCF of 44438 and 44444?

We will first find the prime factorization of 44438 and 44444. After we will calculate the factors of 44438 and 44444 and find the biggest common factor number .

Step-1: Prime Factorization of 44438

Prime factors of 44438 are 2, 17, 1307. Prime factorization of 44438 in exponential form is:

44438 = 2¹ × 17¹ × 1307¹

Step-2: Prime Factorization of 44444

Prime factors of 44444 are 2, 41, 271. Prime factorization of 44444 in exponential form is:

44444 = 2² × 41¹ × 271¹

Step-3: Factors of 44438

List of positive integer factors of 44438 that divides 44438 without a remainder.

1, 2, 17, 34, 1307, 2614, 22219

Step-4: Factors of 44444

List of positive integer factors of 44444 that divides 44438 without a remainder.

1, 2, 4, 41, 82, 164, 271, 542, 1084, 11111, 22222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44438 and 44444. The biggest common factor number is the GCF number.
So the greatest common factor 44438 and 44444 is 2.

Also check out the Least Common Multiple of 44438 and 44444