What is the Greatest Common Factor of 44428 and 44438?

Greatest common factor (GCF) of 44428 and 44438 is 2.

GCF(44428,44438) = 2

We will now calculate the prime factors of 44428 and 44438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44428 and 44438.

How to find the GCF of 44428 and 44438?

We will first find the prime factorization of 44428 and 44438. After we will calculate the factors of 44428 and 44438 and find the biggest common factor number .

Step-1: Prime Factorization of 44428

Prime factors of 44428 are 2, 29, 383. Prime factorization of 44428 in exponential form is:

44428 = 2² × 29¹ × 383¹

Step-2: 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-3: Factors of 44428

List of positive integer factors of 44428 that divides 44428 without a remainder.

1, 2, 4, 29, 58, 116, 383, 766, 1532, 11107, 22214

Step-4: Factors of 44438

List of positive integer factors of 44438 that divides 44428 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44428 and 44438. The biggest common factor number is the GCF number.
So the greatest common factor 44428 and 44438 is 2.

Also check out the Least Common Multiple of 44428 and 44438