What is the Greatest Common Factor of 3798 and 3808?

Greatest common factor (GCF) of 3798 and 3808 is 2.

GCF(3798,3808) = 2

We will now calculate the prime factors of 3798 and 3808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3798 and 3808.

How to find the GCF of 3798 and 3808?

We will first find the prime factorization of 3798 and 3808. After we will calculate the factors of 3798 and 3808 and find the biggest common factor number .

Step-1: Prime Factorization of 3798

Prime factors of 3798 are 2, 3, 211. Prime factorization of 3798 in exponential form is:

3798 = 2¹ × 3² × 211¹

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 3798

List of positive integer factors of 3798 that divides 3798 without a remainder.

1, 2, 3, 6, 9, 18, 211, 422, 633, 1266, 1899

Step-4: Factors of 3808

List of positive integer factors of 3808 that divides 3798 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 3798 and 3808. The biggest common factor number is the GCF number.
So the greatest common factor 3798 and 3808 is 2.

Also check out the Least Common Multiple of 3798 and 3808