What is the Greatest Common Factor of 19929 and 19943?

Greatest common factor (GCF) of 19929 and 19943 is 7.

GCF(19929,19943) = 7

We will now calculate the prime factors of 19929 and 19943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19929 and 19943.

How to find the GCF of 19929 and 19943?

We will first find the prime factorization of 19929 and 19943. After we will calculate the factors of 19929 and 19943 and find the biggest common factor number .

Step-1: Prime Factorization of 19929

Prime factors of 19929 are 3, 7, 13, 73. Prime factorization of 19929 in exponential form is:

19929 = 3¹ × 7¹ × 13¹ × 73¹

Step-2: Prime Factorization of 19943

Prime factors of 19943 are 7, 11, 37. Prime factorization of 19943 in exponential form is:

19943 = 7² × 11¹ × 37¹

Step-3: Factors of 19929

List of positive integer factors of 19929 that divides 19929 without a remainder.

1, 3, 7, 13, 21, 39, 73, 91, 219, 273, 511, 949, 1533, 2847, 6643

Step-4: Factors of 19943

List of positive integer factors of 19943 that divides 19929 without a remainder.

1, 7, 11, 37, 49, 77, 259, 407, 539, 1813, 2849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19929 and 19943. The biggest common factor number is the GCF number.
So the greatest common factor 19929 and 19943 is 7.

Also check out the Least Common Multiple of 19929 and 19943