What is the Greatest Common Factor of 19857 and 19874?

Greatest common factor (GCF) of 19857 and 19874 is 1.

GCF(19857,19874) = 1

We will now calculate the prime factors of 19857 and 19874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19857 and 19874.

How to find the GCF of 19857 and 19874?

We will first find the prime factorization of 19857 and 19874. After we will calculate the factors of 19857 and 19874 and find the biggest common factor number .

Step-1: Prime Factorization of 19857

Prime factors of 19857 are 3, 6619. Prime factorization of 19857 in exponential form is:

19857 = 3¹ × 6619¹

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 19857

List of positive integer factors of 19857 that divides 19857 without a remainder.

1, 3, 6619

Step-4: Factors of 19874

List of positive integer factors of 19874 that divides 19857 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19857 and 19874. The biggest common factor number is the GCF number.
So the greatest common factor 19857 and 19874 is 1.

Also check out the Least Common Multiple of 19857 and 19874