What is the Greatest Common Factor of 1808 and 1816?

Greatest common factor (GCF) of 1808 and 1816 is 8.

GCF(1808,1816) = 8

We will now calculate the prime factors of 1808 and 1816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1808 and 1816.

How to find the GCF of 1808 and 1816?

We will first find the prime factorization of 1808 and 1816. After we will calculate the factors of 1808 and 1816 and find the biggest common factor number .

Step-1: Prime Factorization of 1808

Prime factors of 1808 are 2, 113. Prime factorization of 1808 in exponential form is:

1808 = 2⁴ × 113¹

Step-2: Prime Factorization of 1816

Prime factors of 1816 are 2, 227. Prime factorization of 1816 in exponential form is:

1816 = 2³ × 227¹

Step-3: Factors of 1808

List of positive integer factors of 1808 that divides 1808 without a remainder.

1, 2, 4, 8, 16, 113, 226, 452, 904

Step-4: Factors of 1816

List of positive integer factors of 1816 that divides 1808 without a remainder.

1, 2, 4, 8, 227, 454, 908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1808 and 1816. The biggest common factor number is the GCF number.
So the greatest common factor 1808 and 1816 is 8.

Also check out the Least Common Multiple of 1808 and 1816