What is the Greatest Common Factor of 1900 and 1918?

Greatest common factor (GCF) of 1900 and 1918 is 2.

GCF(1900,1918) = 2

We will now calculate the prime factors of 1900 and 1918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1900 and 1918.

How to find the GCF of 1900 and 1918?

We will first find the prime factorization of 1900 and 1918. After we will calculate the factors of 1900 and 1918 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1918

Prime factors of 1918 are 2, 7, 137. Prime factorization of 1918 in exponential form is:

1918 = 2¹ × 7¹ × 137¹

Step-3: Factors of 1900

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

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

Step-4: Factors of 1918

List of positive integer factors of 1918 that divides 1900 without a remainder.

1, 2, 7, 14, 137, 274, 959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1900 and 1918. The biggest common factor number is the GCF number.
So the greatest common factor 1900 and 1918 is 2.

Also check out the Least Common Multiple of 1900 and 1918