What is the Greatest Common Factor of 1808 and 1828?

Greatest common factor (GCF) of 1808 and 1828 is 4.

GCF(1808,1828) = 4

We will now calculate the prime factors of 1808 and 1828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1808 and 1828.

How to find the GCF of 1808 and 1828?

We will first find the prime factorization of 1808 and 1828. After we will calculate the factors of 1808 and 1828 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 1828

Prime factors of 1828 are 2, 457. Prime factorization of 1828 in exponential form is:

1828 = 2² × 457¹

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 1828

List of positive integer factors of 1828 that divides 1808 without a remainder.

1, 2, 4, 457, 914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1808 and 1828. The biggest common factor number is the GCF number.
So the greatest common factor 1808 and 1828 is 4.

Also check out the Least Common Multiple of 1808 and 1828