What is the Greatest Common Factor of 25882 and 25896?

Greatest common factor (GCF) of 25882 and 25896 is 2.

GCF(25882,25896) = 2

We will now calculate the prime factors of 25882 and 25896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25882 and 25896.

How to find the GCF of 25882 and 25896?

We will first find the prime factorization of 25882 and 25896. After we will calculate the factors of 25882 and 25896 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 25896

Prime factors of 25896 are 2, 3, 13, 83. Prime factorization of 25896 in exponential form is:

25896 = 2³ × 3¹ × 13¹ × 83¹

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 25896

List of positive integer factors of 25896 that divides 25882 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 83, 104, 156, 166, 249, 312, 332, 498, 664, 996, 1079, 1992, 2158, 3237, 4316, 6474, 8632, 12948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25882 and 25896. The biggest common factor number is the GCF number.
So the greatest common factor 25882 and 25896 is 2.

Also check out the Least Common Multiple of 25882 and 25896