What is the Greatest Common Factor of 3808 and 3813?

Greatest common factor (GCF) of 3808 and 3813 is 1.

GCF(3808,3813) = 1

We will now calculate the prime factors of 3808 and 3813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3808 and 3813.

How to find the GCF of 3808 and 3813?

We will first find the prime factorization of 3808 and 3813. After we will calculate the factors of 3808 and 3813 and find the biggest common factor number .

Step-1: Prime Factorization of 3808

Prime factors of 3808 are 2, 7, 17. Prime factorization of 3808 in exponential form is:

3808 = 2⁵ × 7¹ × 17¹

Step-2: Prime Factorization of 3813

Prime factors of 3813 are 3, 31, 41. Prime factorization of 3813 in exponential form is:

3813 = 3¹ × 31¹ × 41¹

Step-3: Factors of 3808

List of positive integer factors of 3808 that divides 3808 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904

Step-4: Factors of 3813

List of positive integer factors of 3813 that divides 3808 without a remainder.

1, 3, 31, 41, 93, 123, 1271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3808 and 3813. The biggest common factor number is the GCF number.
So the greatest common factor 3808 and 3813 is 1.

Also check out the Least Common Multiple of 3808 and 3813