What is the Greatest Common Factor of 19785 and 19799?

Greatest common factor (GCF) of 19785 and 19799 is 1.

GCF(19785,19799) = 1

We will now calculate the prime factors of 19785 and 19799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19785 and 19799.

How to find the GCF of 19785 and 19799?

We will first find the prime factorization of 19785 and 19799. After we will calculate the factors of 19785 and 19799 and find the biggest common factor number .

Step-1: Prime Factorization of 19785

Prime factors of 19785 are 3, 5, 1319. Prime factorization of 19785 in exponential form is:

19785 = 3¹ × 5¹ × 1319¹

Step-2: Prime Factorization of 19799

Prime factors of 19799 are 13, 1523. Prime factorization of 19799 in exponential form is:

19799 = 13¹ × 1523¹

Step-3: Factors of 19785

List of positive integer factors of 19785 that divides 19785 without a remainder.

1, 3, 5, 15, 1319, 3957, 6595

Step-4: Factors of 19799

List of positive integer factors of 19799 that divides 19785 without a remainder.

1, 13, 1523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19785 and 19799. The biggest common factor number is the GCF number.
So the greatest common factor 19785 and 19799 is 1.

Also check out the Least Common Multiple of 19785 and 19799