What is the Greatest Common Factor of 44908 and 44918?

Greatest common factor (GCF) of 44908 and 44918 is 2.

GCF(44908,44918) = 2

We will now calculate the prime factors of 44908 and 44918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44908 and 44918.

How to find the GCF of 44908 and 44918?

We will first find the prime factorization of 44908 and 44918. After we will calculate the factors of 44908 and 44918 and find the biggest common factor number .

Step-1: Prime Factorization of 44908

Prime factors of 44908 are 2, 103, 109. Prime factorization of 44908 in exponential form is:

44908 = 2² × 103¹ × 109¹

Step-2: Prime Factorization of 44918

Prime factors of 44918 are 2, 37, 607. Prime factorization of 44918 in exponential form is:

44918 = 2¹ × 37¹ × 607¹

Step-3: Factors of 44908

List of positive integer factors of 44908 that divides 44908 without a remainder.

1, 2, 4, 103, 109, 206, 218, 412, 436, 11227, 22454

Step-4: Factors of 44918

List of positive integer factors of 44918 that divides 44908 without a remainder.

1, 2, 37, 74, 607, 1214, 22459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44908 and 44918. The biggest common factor number is the GCF number.
So the greatest common factor 44908 and 44918 is 2.

Also check out the Least Common Multiple of 44908 and 44918