What is the Greatest Common Factor of 19830 and 19842?

Greatest common factor (GCF) of 19830 and 19842 is 6.

GCF(19830,19842) = 6

We will now calculate the prime factors of 19830 and 19842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19830 and 19842.

How to find the GCF of 19830 and 19842?

We will first find the prime factorization of 19830 and 19842. After we will calculate the factors of 19830 and 19842 and find the biggest common factor number .

Step-1: Prime Factorization of 19830

Prime factors of 19830 are 2, 3, 5, 661. Prime factorization of 19830 in exponential form is:

19830 = 2¹ × 3¹ × 5¹ × 661¹

Step-2: 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-3: Factors of 19830

List of positive integer factors of 19830 that divides 19830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 661, 1322, 1983, 3305, 3966, 6610, 9915

Step-4: Factors of 19842

List of positive integer factors of 19842 that divides 19830 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19830 and 19842. The biggest common factor number is the GCF number.
So the greatest common factor 19830 and 19842 is 6.

Also check out the Least Common Multiple of 19830 and 19842