What is the Greatest Common Factor of 19924 and 19941?

Greatest common factor (GCF) of 19924 and 19941 is 17.

GCF(19924,19941) = 17

We will now calculate the prime factors of 19924 and 19941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19924 and 19941.

How to find the GCF of 19924 and 19941?

We will first find the prime factorization of 19924 and 19941. After we will calculate the factors of 19924 and 19941 and find the biggest common factor number .

Step-1: Prime Factorization of 19924

Prime factors of 19924 are 2, 17, 293. Prime factorization of 19924 in exponential form is:

19924 = 2² × 17¹ × 293¹

Step-2: Prime Factorization of 19941

Prime factors of 19941 are 3, 17, 23. Prime factorization of 19941 in exponential form is:

19941 = 3¹ × 17² × 23¹

Step-3: Factors of 19924

List of positive integer factors of 19924 that divides 19924 without a remainder.

1, 2, 4, 17, 34, 68, 293, 586, 1172, 4981, 9962

Step-4: Factors of 19941

List of positive integer factors of 19941 that divides 19924 without a remainder.

1, 3, 17, 23, 51, 69, 289, 391, 867, 1173, 6647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19924 and 19941. The biggest common factor number is the GCF number.
So the greatest common factor 19924 and 19941 is 17.

Also check out the Least Common Multiple of 19924 and 19941