What is the Greatest Common Factor of 3808 and 3828?

Greatest common factor (GCF) of 3808 and 3828 is 4.

GCF(3808,3828) = 4

We will now calculate the prime factors of 3808 and 3828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3808 and 3828.

How to find the GCF of 3808 and 3828?

We will first find the prime factorization of 3808 and 3828. After we will calculate the factors of 3808 and 3828 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 3828

Prime factors of 3828 are 2, 3, 11, 29. Prime factorization of 3828 in exponential form is:

3828 = 2² × 3¹ × 11¹ × 29¹

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 3828

List of positive integer factors of 3828 that divides 3808 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 132, 174, 319, 348, 638, 957, 1276, 1914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3808 and 3828. The biggest common factor number is the GCF number.
So the greatest common factor 3808 and 3828 is 4.

Also check out the Least Common Multiple of 3808 and 3828