What is the Greatest Common Factor of 25856 and 25871?

Greatest common factor (GCF) of 25856 and 25871 is 1.

GCF(25856,25871) = 1

We will now calculate the prime factors of 25856 and 25871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25856 and 25871.

How to find the GCF of 25856 and 25871?

We will first find the prime factorization of 25856 and 25871. After we will calculate the factors of 25856 and 25871 and find the biggest common factor number .

Step-1: Prime Factorization of 25856

Prime factors of 25856 are 2, 101. Prime factorization of 25856 in exponential form is:

25856 = 2⁸ × 101¹

Step-2: Prime Factorization of 25871

Prime factors of 25871 are 41, 631. Prime factorization of 25871 in exponential form is:

25871 = 41¹ × 631¹

Step-3: Factors of 25856

List of positive integer factors of 25856 that divides 25856 without a remainder.

1, 2, 4, 8, 16, 32, 64, 101, 128, 202, 256, 404, 808, 1616, 3232, 6464, 12928

Step-4: Factors of 25871

List of positive integer factors of 25871 that divides 25856 without a remainder.

1, 41, 631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25856 and 25871. The biggest common factor number is the GCF number.
So the greatest common factor 25856 and 25871 is 1.

Also check out the Least Common Multiple of 25856 and 25871