What is the Greatest Common Factor of 19719 and 19726?

Greatest common factor (GCF) of 19719 and 19726 is 7.

GCF(19719,19726) = 7

We will now calculate the prime factors of 19719 and 19726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19719 and 19726.

How to find the GCF of 19719 and 19726?

We will first find the prime factorization of 19719 and 19726. After we will calculate the factors of 19719 and 19726 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 19726

Prime factors of 19726 are 2, 7, 1409. Prime factorization of 19726 in exponential form is:

19726 = 2¹ × 7¹ × 1409¹

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 19726

List of positive integer factors of 19726 that divides 19719 without a remainder.

1, 2, 7, 14, 1409, 2818, 9863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19719 and 19726. The biggest common factor number is the GCF number.
So the greatest common factor 19719 and 19726 is 7.

Also check out the Least Common Multiple of 19719 and 19726