What is the Greatest Common Factor of 19779 and 19798?

Greatest common factor (GCF) of 19779 and 19798 is 19.

GCF(19779,19798) = 19

We will now calculate the prime factors of 19779 and 19798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19779 and 19798.

How to find the GCF of 19779 and 19798?

We will first find the prime factorization of 19779 and 19798. After we will calculate the factors of 19779 and 19798 and find the biggest common factor number .

Step-1: Prime Factorization of 19779

Prime factors of 19779 are 3, 19, 347. Prime factorization of 19779 in exponential form is:

19779 = 3¹ × 19¹ × 347¹

Step-2: Prime Factorization of 19798

Prime factors of 19798 are 2, 19, 521. Prime factorization of 19798 in exponential form is:

19798 = 2¹ × 19¹ × 521¹

Step-3: Factors of 19779

List of positive integer factors of 19779 that divides 19779 without a remainder.

1, 3, 19, 57, 347, 1041, 6593

Step-4: Factors of 19798

List of positive integer factors of 19798 that divides 19779 without a remainder.

1, 2, 19, 38, 521, 1042, 9899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19779 and 19798. The biggest common factor number is the GCF number.
So the greatest common factor 19779 and 19798 is 19.

Also check out the Least Common Multiple of 19779 and 19798