What is the Greatest Common Factor of 25882 and 25888?

Greatest common factor (GCF) of 25882 and 25888 is 2.

GCF(25882,25888) = 2

We will now calculate the prime factors of 25882 and 25888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25882 and 25888.

How to find the GCF of 25882 and 25888?

We will first find the prime factorization of 25882 and 25888. After we will calculate the factors of 25882 and 25888 and find the biggest common factor number .

Step-1: Prime Factorization of 25882

Prime factors of 25882 are 2, 12941. Prime factorization of 25882 in exponential form is:

25882 = 2¹ × 12941¹

Step-2: Prime Factorization of 25888

Prime factors of 25888 are 2, 809. Prime factorization of 25888 in exponential form is:

25888 = 2⁵ × 809¹

Step-3: Factors of 25882

List of positive integer factors of 25882 that divides 25882 without a remainder.

1, 2, 12941

Step-4: Factors of 25888

List of positive integer factors of 25888 that divides 25882 without a remainder.

1, 2, 4, 8, 16, 32, 809, 1618, 3236, 6472, 12944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25882 and 25888. The biggest common factor number is the GCF number.
So the greatest common factor 25882 and 25888 is 2.

Also check out the Least Common Multiple of 25882 and 25888