What is the Greatest Common Factor of 25878 and 25896?

Greatest common factor (GCF) of 25878 and 25896 is 6.

GCF(25878,25896) = 6

We will now calculate the prime factors of 25878 and 25896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25878 and 25896.

How to find the GCF of 25878 and 25896?

We will first find the prime factorization of 25878 and 25896. After we will calculate the factors of 25878 and 25896 and find the biggest common factor number .

Step-1: Prime Factorization of 25878

Prime factors of 25878 are 2, 3, 19, 227. Prime factorization of 25878 in exponential form is:

25878 = 2¹ × 3¹ × 19¹ × 227¹

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 25878

List of positive integer factors of 25878 that divides 25878 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 227, 454, 681, 1362, 4313, 8626, 12939

Step-4: Factors of 25896

List of positive integer factors of 25896 that divides 25878 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 25878 and 25896. The biggest common factor number is the GCF number.
So the greatest common factor 25878 and 25896 is 6.

Also check out the Least Common Multiple of 25878 and 25896