What is the Greatest Common Factor of 5929 and 5939?

Greatest common factor (GCF) of 5929 and 5939 is 1.

GCF(5929,5939) = 1

We will now calculate the prime factors of 5929 and 5939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5929 and 5939.

How to find the GCF of 5929 and 5939?

We will first find the prime factorization of 5929 and 5939. After we will calculate the factors of 5929 and 5939 and find the biggest common factor number .

Step-1: Prime Factorization of 5929

Prime factors of 5929 are 7, 11. Prime factorization of 5929 in exponential form is:

5929 = 7² × 11²

Step-2: Prime Factorization of 5939

Prime factors of 5939 are 5939. Prime factorization of 5939 in exponential form is:

5939 = 5939¹

Step-3: Factors of 5929

List of positive integer factors of 5929 that divides 5929 without a remainder.

1, 7, 11, 49, 77, 121, 539, 847

Step-4: Factors of 5939

List of positive integer factors of 5939 that divides 5929 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5929 and 5939. The biggest common factor number is the GCF number.
So the greatest common factor 5929 and 5939 is 1.

Also check out the Least Common Multiple of 5929 and 5939