What is the Greatest Common Factor of 3792 and 3812?

Greatest common factor (GCF) of 3792 and 3812 is 4.

GCF(3792,3812) = 4

We will now calculate the prime factors of 3792 and 3812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3792 and 3812.

How to find the GCF of 3792 and 3812?

We will first find the prime factorization of 3792 and 3812. After we will calculate the factors of 3792 and 3812 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 3812

Prime factors of 3812 are 2, 953. Prime factorization of 3812 in exponential form is:

3812 = 2² × 953¹

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 3812

List of positive integer factors of 3812 that divides 3792 without a remainder.

1, 2, 4, 953, 1906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3792 and 3812. The biggest common factor number is the GCF number.
So the greatest common factor 3792 and 3812 is 4.

Also check out the Least Common Multiple of 3792 and 3812