What is the Greatest Common Factor of 19842 and 19857?

Greatest common factor (GCF) of 19842 and 19857 is 3.

GCF(19842,19857) = 3

We will now calculate the prime factors of 19842 and 19857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19842 and 19857.

How to find the GCF of 19842 and 19857?

We will first find the prime factorization of 19842 and 19857. After we will calculate the factors of 19842 and 19857 and find the biggest common factor number .

Step-1: Prime Factorization of 19842

Prime factors of 19842 are 2, 3, 3307. Prime factorization of 19842 in exponential form is:

19842 = 2¹ × 3¹ × 3307¹

Step-2: Prime Factorization of 19857

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

19857 = 3¹ × 6619¹

Step-3: Factors of 19842

List of positive integer factors of 19842 that divides 19842 without a remainder.

1, 2, 3, 6, 3307, 6614, 9921

Step-4: Factors of 19857

List of positive integer factors of 19857 that divides 19842 without a remainder.

1, 3, 6619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19842 and 19857. The biggest common factor number is the GCF number.
So the greatest common factor 19842 and 19857 is 3.

Also check out the Least Common Multiple of 19842 and 19857