What is the Greatest Common Factor of 15848 and 15864?

Greatest common factor (GCF) of 15848 and 15864 is 8.

GCF(15848,15864) = 8

We will now calculate the prime factors of 15848 and 15864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15848 and 15864.

How to find the GCF of 15848 and 15864?

We will first find the prime factorization of 15848 and 15864. After we will calculate the factors of 15848 and 15864 and find the biggest common factor number .

Step-1: Prime Factorization of 15848

Prime factors of 15848 are 2, 7, 283. Prime factorization of 15848 in exponential form is:

15848 = 2³ × 7¹ × 283¹

Step-2: Prime Factorization of 15864

Prime factors of 15864 are 2, 3, 661. Prime factorization of 15864 in exponential form is:

15864 = 2³ × 3¹ × 661¹

Step-3: Factors of 15848

List of positive integer factors of 15848 that divides 15848 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 283, 566, 1132, 1981, 2264, 3962, 7924

Step-4: Factors of 15864

List of positive integer factors of 15864 that divides 15848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 661, 1322, 1983, 2644, 3966, 5288, 7932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15848 and 15864. The biggest common factor number is the GCF number.
So the greatest common factor 15848 and 15864 is 8.

Also check out the Least Common Multiple of 15848 and 15864