What is the Greatest Common Factor of 3808 and 3824?

Greatest common factor (GCF) of 3808 and 3824 is 16.

GCF(3808,3824) = 16

We will now calculate the prime factors of 3808 and 3824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3808 and 3824.

How to find the GCF of 3808 and 3824?

We will first find the prime factorization of 3808 and 3824. After we will calculate the factors of 3808 and 3824 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 3824

Prime factors of 3824 are 2, 239. Prime factorization of 3824 in exponential form is:

3824 = 2⁴ × 239¹

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 3824

List of positive integer factors of 3824 that divides 3808 without a remainder.

1, 2, 4, 8, 16, 239, 478, 956, 1912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3808 and 3824. The biggest common factor number is the GCF number.
So the greatest common factor 3808 and 3824 is 16.

Also check out the Least Common Multiple of 3808 and 3824