What is the Greatest Common Factor of 19844 and 19855?

Greatest common factor (GCF) of 19844 and 19855 is 11.

GCF(19844,19855) = 11

We will now calculate the prime factors of 19844 and 19855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19844 and 19855.

How to find the GCF of 19844 and 19855?

We will first find the prime factorization of 19844 and 19855. After we will calculate the factors of 19844 and 19855 and find the biggest common factor number .

Step-1: Prime Factorization of 19844

Prime factors of 19844 are 2, 11, 41. Prime factorization of 19844 in exponential form is:

19844 = 2² × 11² × 41¹

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 19844

List of positive integer factors of 19844 that divides 19844 without a remainder.

1, 2, 4, 11, 22, 41, 44, 82, 121, 164, 242, 451, 484, 902, 1804, 4961, 9922

Step-4: Factors of 19855

List of positive integer factors of 19855 that divides 19844 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 19844 and 19855. The biggest common factor number is the GCF number.
So the greatest common factor 19844 and 19855 is 11.

Also check out the Least Common Multiple of 19844 and 19855