What is the Greatest Common Factor of 3780 and 3792?

Greatest common factor (GCF) of 3780 and 3792 is 12.

GCF(3780,3792) = 12

We will now calculate the prime factors of 3780 and 3792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3780 and 3792.

How to find the GCF of 3780 and 3792?

We will first find the prime factorization of 3780 and 3792. After we will calculate the factors of 3780 and 3792 and find the biggest common factor number .

Step-1: Prime Factorization of 3780

Prime factors of 3780 are 2, 3, 5, 7. Prime factorization of 3780 in exponential form is:

3780 = 2² × 3³ × 5¹ × 7¹

Step-2: 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-3: Factors of 3780

List of positive integer factors of 3780 that divides 3780 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890

Step-4: Factors of 3792

List of positive integer factors of 3792 that divides 3780 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3780 and 3792. The biggest common factor number is the GCF number.
So the greatest common factor 3780 and 3792 is 12.

Also check out the Least Common Multiple of 3780 and 3792