What is the Greatest Common Factor of 1885 and 1900?

Greatest common factor (GCF) of 1885 and 1900 is 5.

GCF(1885,1900) = 5

We will now calculate the prime factors of 1885 and 1900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1885 and 1900.

How to find the GCF of 1885 and 1900?

We will first find the prime factorization of 1885 and 1900. After we will calculate the factors of 1885 and 1900 and find the biggest common factor number .

Step-1: Prime Factorization of 1885

Prime factors of 1885 are 5, 13, 29. Prime factorization of 1885 in exponential form is:

1885 = 5¹ × 13¹ × 29¹

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 1885

List of positive integer factors of 1885 that divides 1885 without a remainder.

1, 5, 13, 29, 65, 145, 377

Step-4: Factors of 1900

List of positive integer factors of 1900 that divides 1885 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 1885 and 1900. The biggest common factor number is the GCF number.
So the greatest common factor 1885 and 1900 is 5.

Also check out the Least Common Multiple of 1885 and 1900