What is the Greatest Common Factor of 3780 and 3784?

Greatest common factor (GCF) of 3780 and 3784 is 4.

GCF(3780,3784) = 4

We will now calculate the prime factors of 3780 and 3784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3780 and 3784.

How to find the GCF of 3780 and 3784?

We will first find the prime factorization of 3780 and 3784. After we will calculate the factors of 3780 and 3784 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 3784

Prime factors of 3784 are 2, 11, 43. Prime factorization of 3784 in exponential form is:

3784 = 2³ × 11¹ × 43¹

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 3784

List of positive integer factors of 3784 that divides 3780 without a remainder.

1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3780 and 3784. The biggest common factor number is the GCF number.
So the greatest common factor 3780 and 3784 is 4.

Also check out the Least Common Multiple of 3780 and 3784