What is the Greatest Common Factor of 19855 and 19874?

Greatest common factor (GCF) of 19855 and 19874 is 19.

GCF(19855,19874) = 19

We will now calculate the prime factors of 19855 and 19874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19855 and 19874.

How to find the GCF of 19855 and 19874?

We will first find the prime factorization of 19855 and 19874. After we will calculate the factors of 19855 and 19874 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19874

Prime factors of 19874 are 2, 19, 523. Prime factorization of 19874 in exponential form is:

19874 = 2¹ × 19¹ × 523¹

Step-3: Factors of 19855

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

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

Step-4: Factors of 19874

List of positive integer factors of 19874 that divides 19855 without a remainder.

1, 2, 19, 38, 523, 1046, 9937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19855 and 19874. The biggest common factor number is the GCF number.
So the greatest common factor 19855 and 19874 is 19.

Also check out the Least Common Multiple of 19855 and 19874