What is the Greatest Common Factor of 1886 and 1900?

Greatest common factor (GCF) of 1886 and 1900 is 2.

GCF(1886,1900) = 2

We will now calculate the prime factors of 1886 and 1900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1886 and 1900.

How to find the GCF of 1886 and 1900?

We will first find the prime factorization of 1886 and 1900. After we will calculate the factors of 1886 and 1900 and find the biggest common factor number .

Step-1: Prime Factorization of 1886

Prime factors of 1886 are 2, 23, 41. Prime factorization of 1886 in exponential form is:

1886 = 2¹ × 23¹ × 41¹

Step-2: Prime Factorization of 1900

Prime factors of 1900 are 2, 5, 19. Prime factorization of 1900 in exponential form is:

1900 = 2² × 5² × 19¹

Step-3: Factors of 1886

List of positive integer factors of 1886 that divides 1886 without a remainder.

1, 2, 23, 41, 46, 82, 943

Step-4: Factors of 1900

List of positive integer factors of 1900 that divides 1886 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 190, 380, 475, 950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1886 and 1900. The biggest common factor number is the GCF number.
So the greatest common factor 1886 and 1900 is 2.

Also check out the Least Common Multiple of 1886 and 1900