What is the Greatest Common Factor of 19719 and 19733?

Greatest common factor (GCF) of 19719 and 19733 is 7.

GCF(19719,19733) = 7

We will now calculate the prime factors of 19719 and 19733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19719 and 19733.

How to find the GCF of 19719 and 19733?

We will first find the prime factorization of 19719 and 19733. After we will calculate the factors of 19719 and 19733 and find the biggest common factor number .

Step-1: Prime Factorization of 19719

Prime factors of 19719 are 3, 7, 313. Prime factorization of 19719 in exponential form is:

19719 = 3² × 7¹ × 313¹

Step-2: Prime Factorization of 19733

Prime factors of 19733 are 7, 2819. Prime factorization of 19733 in exponential form is:

19733 = 7¹ × 2819¹

Step-3: Factors of 19719

List of positive integer factors of 19719 that divides 19719 without a remainder.

1, 3, 7, 9, 21, 63, 313, 939, 2191, 2817, 6573

Step-4: Factors of 19733

List of positive integer factors of 19733 that divides 19719 without a remainder.

1, 7, 2819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19719 and 19733. The biggest common factor number is the GCF number.
So the greatest common factor 19719 and 19733 is 7.

Also check out the Least Common Multiple of 19719 and 19733