What is the Greatest Common Factor of 3786 and 3800?

Greatest common factor (GCF) of 3786 and 3800 is 2.

GCF(3786,3800) = 2

We will now calculate the prime factors of 3786 and 3800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3786 and 3800.

How to find the GCF of 3786 and 3800?

We will first find the prime factorization of 3786 and 3800. After we will calculate the factors of 3786 and 3800 and find the biggest common factor number .

Step-1: Prime Factorization of 3786

Prime factors of 3786 are 2, 3, 631. Prime factorization of 3786 in exponential form is:

3786 = 2¹ × 3¹ × 631¹

Step-2: Prime Factorization of 3800

Prime factors of 3800 are 2, 5, 19. Prime factorization of 3800 in exponential form is:

3800 = 2³ × 5² × 19¹

Step-3: Factors of 3786

List of positive integer factors of 3786 that divides 3786 without a remainder.

1, 2, 3, 6, 631, 1262, 1893

Step-4: Factors of 3800

List of positive integer factors of 3800 that divides 3786 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3786 and 3800. The biggest common factor number is the GCF number.
So the greatest common factor 3786 and 3800 is 2.

Also check out the Least Common Multiple of 3786 and 3800