What is the Greatest Common Factor of 19785 and 19805?

Greatest common factor (GCF) of 19785 and 19805 is 5.

GCF(19785,19805) = 5

We will now calculate the prime factors of 19785 and 19805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19785 and 19805.

How to find the GCF of 19785 and 19805?

We will first find the prime factorization of 19785 and 19805. After we will calculate the factors of 19785 and 19805 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 19805

Prime factors of 19805 are 5, 17, 233. Prime factorization of 19805 in exponential form is:

19805 = 5¹ × 17¹ × 233¹

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 19805

List of positive integer factors of 19805 that divides 19785 without a remainder.

1, 5, 17, 85, 233, 1165, 3961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19785 and 19805. The biggest common factor number is the GCF number.
So the greatest common factor 19785 and 19805 is 5.

Also check out the Least Common Multiple of 19785 and 19805