What is the Greatest Common Factor of 19939 and 19943?

Greatest common factor (GCF) of 19939 and 19943 is 1.

GCF(19939,19943) = 1

We will now calculate the prime factors of 19939 and 19943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19939 and 19943.

How to find the GCF of 19939 and 19943?

We will first find the prime factorization of 19939 and 19943. After we will calculate the factors of 19939 and 19943 and find the biggest common factor number .

Step-1: Prime Factorization of 19939

Prime factors of 19939 are 127, 157. Prime factorization of 19939 in exponential form is:

19939 = 127¹ × 157¹

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 19939

List of positive integer factors of 19939 that divides 19939 without a remainder.

1, 127, 157

Step-4: Factors of 19943

List of positive integer factors of 19943 that divides 19939 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 19939 and 19943. The biggest common factor number is the GCF number.
So the greatest common factor 19939 and 19943 is 1.

Also check out the Least Common Multiple of 19939 and 19943