What is the Greatest Common Factor of 40804 and 40816?

Greatest common factor (GCF) of 40804 and 40816 is 4.

GCF(40804,40816) = 4

We will now calculate the prime factors of 40804 and 40816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40804 and 40816.

How to find the GCF of 40804 and 40816?

We will first find the prime factorization of 40804 and 40816. After we will calculate the factors of 40804 and 40816 and find the biggest common factor number .

Step-1: Prime Factorization of 40804

Prime factors of 40804 are 2, 101. Prime factorization of 40804 in exponential form is:

40804 = 2² × 101²

Step-2: Prime Factorization of 40816

Prime factors of 40816 are 2, 2551. Prime factorization of 40816 in exponential form is:

40816 = 2⁴ × 2551¹

Step-3: Factors of 40804

List of positive integer factors of 40804 that divides 40804 without a remainder.

1, 2, 4, 101, 202, 404, 10201, 20402

Step-4: Factors of 40816

List of positive integer factors of 40816 that divides 40804 without a remainder.

1, 2, 4, 8, 16, 2551, 5102, 10204, 20408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40804 and 40816. The biggest common factor number is the GCF number.
So the greatest common factor 40804 and 40816 is 4.

Also check out the Least Common Multiple of 40804 and 40816