What is the Greatest Common Factor of 19914 and 19929?

Greatest common factor (GCF) of 19914 and 19929 is 3.

GCF(19914,19929) = 3

We will now calculate the prime factors of 19914 and 19929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19914 and 19929.

How to find the GCF of 19914 and 19929?

We will first find the prime factorization of 19914 and 19929. After we will calculate the factors of 19914 and 19929 and find the biggest common factor number .

Step-1: Prime Factorization of 19914

Prime factors of 19914 are 2, 3, 3319. Prime factorization of 19914 in exponential form is:

19914 = 2¹ × 3¹ × 3319¹

Step-2: 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-3: Factors of 19914

List of positive integer factors of 19914 that divides 19914 without a remainder.

1, 2, 3, 6, 3319, 6638, 9957

Step-4: Factors of 19929

List of positive integer factors of 19929 that divides 19914 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19914 and 19929. The biggest common factor number is the GCF number.
So the greatest common factor 19914 and 19929 is 3.

Also check out the Least Common Multiple of 19914 and 19929