What is the Greatest Common Factor of 15854 and 15872?

Greatest common factor (GCF) of 15854 and 15872 is 2.

GCF(15854,15872) = 2

We will now calculate the prime factors of 15854 and 15872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15854 and 15872.

How to find the GCF of 15854 and 15872?

We will first find the prime factorization of 15854 and 15872. After we will calculate the factors of 15854 and 15872 and find the biggest common factor number .

Step-1: Prime Factorization of 15854

Prime factors of 15854 are 2, 7927. Prime factorization of 15854 in exponential form is:

15854 = 2¹ × 7927¹

Step-2: Prime Factorization of 15872

Prime factors of 15872 are 2, 31. Prime factorization of 15872 in exponential form is:

15872 = 2⁹ × 31¹

Step-3: Factors of 15854

List of positive integer factors of 15854 that divides 15854 without a remainder.

1, 2, 7927

Step-4: Factors of 15872

List of positive integer factors of 15872 that divides 15854 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 512, 992, 1984, 3968, 7936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15854 and 15872. The biggest common factor number is the GCF number.
So the greatest common factor 15854 and 15872 is 2.

Also check out the Least Common Multiple of 15854 and 15872