What is the Greatest Common Factor of 3791 and 3808?

Greatest common factor (GCF) of 3791 and 3808 is 17.

GCF(3791,3808) = 17

We will now calculate the prime factors of 3791 and 3808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3791 and 3808.

How to find the GCF of 3791 and 3808?

We will first find the prime factorization of 3791 and 3808. After we will calculate the factors of 3791 and 3808 and find the biggest common factor number .

Step-1: Prime Factorization of 3791

Prime factors of 3791 are 17, 223. Prime factorization of 3791 in exponential form is:

3791 = 17¹ × 223¹

Step-2: 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-3: Factors of 3791

List of positive integer factors of 3791 that divides 3791 without a remainder.

1, 17, 223

Step-4: Factors of 3808

List of positive integer factors of 3808 that divides 3791 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3791 and 3808. The biggest common factor number is the GCF number.
So the greatest common factor 3791 and 3808 is 17.

Also check out the Least Common Multiple of 3791 and 3808