What is the Greatest Common Factor of 3792 and 3808?

Greatest common factor (GCF) of 3792 and 3808 is 16.

GCF(3792,3808) = 16

We will now calculate the prime factors of 3792 and 3808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3792 and 3808.

How to find the GCF of 3792 and 3808?

We will first find the prime factorization of 3792 and 3808. After we will calculate the factors of 3792 and 3808 and find the biggest common factor number .

Step-1: Prime Factorization of 3792

Prime factors of 3792 are 2, 3, 79. Prime factorization of 3792 in exponential form is:

3792 = 2⁴ × 3¹ × 79¹

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 3792

List of positive integer factors of 3792 that divides 3792 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896

Step-4: Factors of 3808

List of positive integer factors of 3808 that divides 3792 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 3792 and 3808. The biggest common factor number is the GCF number.
So the greatest common factor 3792 and 3808 is 16.

Also check out the Least Common Multiple of 3792 and 3808