What is the Greatest Common Factor of 44428 and 44446?

Greatest common factor (GCF) of 44428 and 44446 is 2.

GCF(44428,44446) = 2

We will now calculate the prime factors of 44428 and 44446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44428 and 44446.

How to find the GCF of 44428 and 44446?

We will first find the prime factorization of 44428 and 44446. After we will calculate the factors of 44428 and 44446 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 44446

Prime factors of 44446 are 2, 71, 313. Prime factorization of 44446 in exponential form is:

44446 = 2¹ × 71¹ × 313¹

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 44446

List of positive integer factors of 44446 that divides 44428 without a remainder.

1, 2, 71, 142, 313, 626, 22223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44428 and 44446. The biggest common factor number is the GCF number.
So the greatest common factor 44428 and 44446 is 2.

Also check out the Least Common Multiple of 44428 and 44446