What is the Greatest Common Factor of 3800 and 3807?

Greatest common factor (GCF) of 3800 and 3807 is 1.

GCF(3800,3807) = 1

We will now calculate the prime factors of 3800 and 3807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3800 and 3807.

How to find the GCF of 3800 and 3807?

We will first find the prime factorization of 3800 and 3807. After we will calculate the factors of 3800 and 3807 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3807

Prime factors of 3807 are 3, 47. Prime factorization of 3807 in exponential form is:

3807 = 3⁴ × 47¹

Step-3: Factors of 3800

List of positive integer factors of 3800 that divides 3800 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

Step-4: Factors of 3807

List of positive integer factors of 3807 that divides 3800 without a remainder.

1, 3, 9, 27, 47, 81, 141, 423, 1269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3800 and 3807. The biggest common factor number is the GCF number.
So the greatest common factor 3800 and 3807 is 1.

Also check out the Least Common Multiple of 3800 and 3807