What is the Greatest Common Factor of 15939 and 15949?

Greatest common factor (GCF) of 15939 and 15949 is 1.

GCF(15939,15949) = 1

We will now calculate the prime factors of 15939 and 15949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15939 and 15949.

How to find the GCF of 15939 and 15949?

We will first find the prime factorization of 15939 and 15949. After we will calculate the factors of 15939 and 15949 and find the biggest common factor number .

Step-1: Prime Factorization of 15939

Prime factors of 15939 are 3, 7, 11, 23. Prime factorization of 15939 in exponential form is:

15939 = 3² × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 15949

Prime factors of 15949 are 41, 389. Prime factorization of 15949 in exponential form is:

15949 = 41¹ × 389¹

Step-3: Factors of 15939

List of positive integer factors of 15939 that divides 15939 without a remainder.

1, 3, 7, 9, 11, 21, 23, 33, 63, 69, 77, 99, 161, 207, 231, 253, 483, 693, 759, 1449, 1771, 2277, 5313

Step-4: Factors of 15949

List of positive integer factors of 15949 that divides 15939 without a remainder.

1, 41, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15939 and 15949. The biggest common factor number is the GCF number.
So the greatest common factor 15939 and 15949 is 1.

Also check out the Least Common Multiple of 15939 and 15949