What is the Greatest Common Factor of 19929 and 19944?

Greatest common factor (GCF) of 19929 and 19944 is 3.

GCF(19929,19944) = 3

We will now calculate the prime factors of 19929 and 19944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19929 and 19944.

How to find the GCF of 19929 and 19944?

We will first find the prime factorization of 19929 and 19944. After we will calculate the factors of 19929 and 19944 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 19944

Prime factors of 19944 are 2, 3, 277. Prime factorization of 19944 in exponential form is:

19944 = 2³ × 3² × 277¹

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 19944

List of positive integer factors of 19944 that divides 19929 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 277, 554, 831, 1108, 1662, 2216, 2493, 3324, 4986, 6648, 9972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19929 and 19944. The biggest common factor number is the GCF number.
So the greatest common factor 19929 and 19944 is 3.

Also check out the Least Common Multiple of 19929 and 19944