What is the Greatest Common Factor of 15888 and 15898?

Greatest common factor (GCF) of 15888 and 15898 is 2.

GCF(15888,15898) = 2

We will now calculate the prime factors of 15888 and 15898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15888 and 15898.

How to find the GCF of 15888 and 15898?

We will first find the prime factorization of 15888 and 15898. After we will calculate the factors of 15888 and 15898 and find the biggest common factor number .

Step-1: Prime Factorization of 15888

Prime factors of 15888 are 2, 3, 331. Prime factorization of 15888 in exponential form is:

15888 = 2⁴ × 3¹ × 331¹

Step-2: Prime Factorization of 15898

Prime factors of 15898 are 2, 7949. Prime factorization of 15898 in exponential form is:

15898 = 2¹ × 7949¹

Step-3: Factors of 15888

List of positive integer factors of 15888 that divides 15888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 331, 662, 993, 1324, 1986, 2648, 3972, 5296, 7944

Step-4: Factors of 15898

List of positive integer factors of 15898 that divides 15888 without a remainder.

1, 2, 7949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15888 and 15898. The biggest common factor number is the GCF number.
So the greatest common factor 15888 and 15898 is 2.

Also check out the Least Common Multiple of 15888 and 15898