What is the Greatest Common Factor of 3800 and 3820?

Greatest common factor (GCF) of 3800 and 3820 is 20.

GCF(3800,3820) = 20

We will now calculate the prime factors of 3800 and 3820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3800 and 3820.

How to find the GCF of 3800 and 3820?

We will first find the prime factorization of 3800 and 3820. After we will calculate the factors of 3800 and 3820 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 3820

Prime factors of 3820 are 2, 5, 191. Prime factorization of 3820 in exponential form is:

3820 = 2² × 5¹ × 191¹

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 3820

List of positive integer factors of 3820 that divides 3800 without a remainder.

1, 2, 4, 5, 10, 20, 191, 382, 764, 955, 1910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3800 and 3820. The biggest common factor number is the GCF number.
So the greatest common factor 3800 and 3820 is 20.

Also check out the Least Common Multiple of 3800 and 3820