What is the Greatest Common Factor of 19823 and 19830?

Greatest common factor (GCF) of 19823 and 19830 is 1.

GCF(19823,19830) = 1

We will now calculate the prime factors of 19823 and 19830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19823 and 19830.

How to find the GCF of 19823 and 19830?

We will first find the prime factorization of 19823 and 19830. After we will calculate the factors of 19823 and 19830 and find the biggest common factor number .

Step-1: Prime Factorization of 19823

Prime factors of 19823 are 43, 461. Prime factorization of 19823 in exponential form is:

19823 = 43¹ × 461¹

Step-2: 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-3: Factors of 19823

List of positive integer factors of 19823 that divides 19823 without a remainder.

1, 43, 461

Step-4: Factors of 19830

List of positive integer factors of 19830 that divides 19823 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19823 and 19830. The biggest common factor number is the GCF number.
So the greatest common factor 19823 and 19830 is 1.

Also check out the Least Common Multiple of 19823 and 19830