What is the Greatest Common Factor of 19850 and 19855?

Greatest common factor (GCF) of 19850 and 19855 is 5.

GCF(19850,19855) = 5

We will now calculate the prime factors of 19850 and 19855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19850 and 19855.

How to find the GCF of 19850 and 19855?

We will first find the prime factorization of 19850 and 19855. After we will calculate the factors of 19850 and 19855 and find the biggest common factor number .

Step-1: Prime Factorization of 19850

Prime factors of 19850 are 2, 5, 397. Prime factorization of 19850 in exponential form is:

19850 = 2¹ × 5² × 397¹

Step-2: Prime Factorization of 19855

Prime factors of 19855 are 5, 11, 19. Prime factorization of 19855 in exponential form is:

19855 = 5¹ × 11¹ × 19²

Step-3: Factors of 19850

List of positive integer factors of 19850 that divides 19850 without a remainder.

1, 2, 5, 10, 25, 50, 397, 794, 1985, 3970, 9925

Step-4: Factors of 19855

List of positive integer factors of 19855 that divides 19850 without a remainder.

1, 5, 11, 19, 55, 95, 209, 361, 1045, 1805, 3971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19850 and 19855. The biggest common factor number is the GCF number.
So the greatest common factor 19850 and 19855 is 5.

Also check out the Least Common Multiple of 19850 and 19855