What is the Greatest Common Factor of 40900 and 40916?

Greatest common factor (GCF) of 40900 and 40916 is 4.

GCF(40900,40916) = 4

We will now calculate the prime factors of 40900 and 40916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40900 and 40916.

How to find the GCF of 40900 and 40916?

We will first find the prime factorization of 40900 and 40916. After we will calculate the factors of 40900 and 40916 and find the biggest common factor number .

Step-1: Prime Factorization of 40900

Prime factors of 40900 are 2, 5, 409. Prime factorization of 40900 in exponential form is:

40900 = 2² × 5² × 409¹

Step-2: 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-3: Factors of 40900

List of positive integer factors of 40900 that divides 40900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 409, 818, 1636, 2045, 4090, 8180, 10225, 20450

Step-4: Factors of 40916

List of positive integer factors of 40916 that divides 40900 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40900 and 40916. The biggest common factor number is the GCF number.
So the greatest common factor 40900 and 40916 is 4.

Also check out the Least Common Multiple of 40900 and 40916