What is the Greatest Common Factor of 19929 and 19942?

Greatest common factor (GCF) of 19929 and 19942 is 13.

GCF(19929,19942) = 13

We will now calculate the prime factors of 19929 and 19942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19929 and 19942.

How to find the GCF of 19929 and 19942?

We will first find the prime factorization of 19929 and 19942. After we will calculate the factors of 19929 and 19942 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 19942

Prime factors of 19942 are 2, 13, 59. Prime factorization of 19942 in exponential form is:

19942 = 2¹ × 13² × 59¹

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 19942

List of positive integer factors of 19942 that divides 19929 without a remainder.

1, 2, 13, 26, 59, 118, 169, 338, 767, 1534, 9971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19929 and 19942. The biggest common factor number is the GCF number.
So the greatest common factor 19929 and 19942 is 13.

Also check out the Least Common Multiple of 19929 and 19942