What is the Greatest Common Factor of 15954 and 15959?

Greatest common factor (GCF) of 15954 and 15959 is 1.

GCF(15954,15959) = 1

We will now calculate the prime factors of 15954 and 15959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15954 and 15959.

How to find the GCF of 15954 and 15959?

We will first find the prime factorization of 15954 and 15959. After we will calculate the factors of 15954 and 15959 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 15959

Prime factors of 15959 are 15959. Prime factorization of 15959 in exponential form is:

15959 = 15959¹

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 15959

List of positive integer factors of 15959 that divides 15954 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15954 and 15959. The biggest common factor number is the GCF number.
So the greatest common factor 15954 and 15959 is 1.

Also check out the Least Common Multiple of 15954 and 15959