What is the Greatest Common Factor of 15950 and 15963?

Greatest common factor (GCF) of 15950 and 15963 is 1.

GCF(15950,15963) = 1

We will now calculate the prime factors of 15950 and 15963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15950 and 15963.

How to find the GCF of 15950 and 15963?

We will first find the prime factorization of 15950 and 15963. After we will calculate the factors of 15950 and 15963 and find the biggest common factor number .

Step-1: Prime Factorization of 15950

Prime factors of 15950 are 2, 5, 11, 29. Prime factorization of 15950 in exponential form is:

15950 = 2¹ × 5² × 11¹ × 29¹

Step-2: Prime Factorization of 15963

Prime factors of 15963 are 3, 17, 313. Prime factorization of 15963 in exponential form is:

15963 = 3¹ × 17¹ × 313¹

Step-3: Factors of 15950

List of positive integer factors of 15950 that divides 15950 without a remainder.

1, 2, 5, 10, 11, 22, 25, 29, 50, 55, 58, 110, 145, 275, 290, 319, 550, 638, 725, 1450, 1595, 3190, 7975

Step-4: Factors of 15963

List of positive integer factors of 15963 that divides 15950 without a remainder.

1, 3, 17, 51, 313, 939, 5321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15950 and 15963. The biggest common factor number is the GCF number.
So the greatest common factor 15950 and 15963 is 1.

Also check out the Least Common Multiple of 15950 and 15963