What is the Greatest Common Factor of 40916 and 40928?

Greatest common factor (GCF) of 40916 and 40928 is 4.

GCF(40916,40928) = 4

We will now calculate the prime factors of 40916 and 40928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40916 and 40928.

How to find the GCF of 40916 and 40928?

We will first find the prime factorization of 40916 and 40928. After we will calculate the factors of 40916 and 40928 and find the biggest common factor number .

Step-1: Prime Factorization of 40916

Prime factors of 40916 are 2, 53, 193. Prime factorization of 40916 in exponential form is:

40916 = 2² × 53¹ × 193¹

Step-2: Prime Factorization of 40928

Prime factors of 40928 are 2, 1279. Prime factorization of 40928 in exponential form is:

40928 = 2⁵ × 1279¹

Step-3: Factors of 40916

List of positive integer factors of 40916 that divides 40916 without a remainder.

1, 2, 4, 53, 106, 193, 212, 386, 772, 10229, 20458

Step-4: Factors of 40928

List of positive integer factors of 40928 that divides 40916 without a remainder.

1, 2, 4, 8, 16, 32, 1279, 2558, 5116, 10232, 20464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40916 and 40928. The biggest common factor number is the GCF number.
So the greatest common factor 40916 and 40928 is 4.

Also check out the Least Common Multiple of 40916 and 40928