What is the Greatest Common Factor of 3760 and 3780?

Greatest common factor (GCF) of 3760 and 3780 is 20.

GCF(3760,3780) = 20

We will now calculate the prime factors of 3760 and 3780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3760 and 3780.

How to find the GCF of 3760 and 3780?

We will first find the prime factorization of 3760 and 3780. After we will calculate the factors of 3760 and 3780 and find the biggest common factor number .

Step-1: Prime Factorization of 3760

Prime factors of 3760 are 2, 5, 47. Prime factorization of 3760 in exponential form is:

3760 = 2⁴ × 5¹ × 47¹

Step-2: 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-3: Factors of 3760

List of positive integer factors of 3760 that divides 3760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880

Step-4: Factors of 3780

List of positive integer factors of 3780 that divides 3760 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3760 and 3780. The biggest common factor number is the GCF number.
So the greatest common factor 3760 and 3780 is 20.

Also check out the Least Common Multiple of 3760 and 3780