What is the Greatest Common Factor of 15954 and 15963?

Greatest common factor (GCF) of 15954 and 15963 is 3.

GCF(15954,15963) = 3

We will now calculate the prime factors of 15954 and 15963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15954 and 15963.

How to find the GCF of 15954 and 15963?

We will first find the prime factorization of 15954 and 15963. After we will calculate the factors of 15954 and 15963 and find the biggest common factor number .

Step-1: Prime Factorization of 15954

Prime factors of 15954 are 2, 3, 2659. Prime factorization of 15954 in exponential form is:

15954 = 2¹ × 3¹ × 2659¹

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 15954

List of positive integer factors of 15954 that divides 15954 without a remainder.

1, 2, 3, 6, 2659, 5318, 7977

Step-4: Factors of 15963

List of positive integer factors of 15963 that divides 15954 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15954 and 15963. The biggest common factor number is the GCF number.
So the greatest common factor 15954 and 15963 is 3.

Also check out the Least Common Multiple of 15954 and 15963