What is the Greatest Common Factor of 25878 and 25898?

Greatest common factor (GCF) of 25878 and 25898 is 2.

GCF(25878,25898) = 2

We will now calculate the prime factors of 25878 and 25898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25878 and 25898.

How to find the GCF of 25878 and 25898?

We will first find the prime factorization of 25878 and 25898. After we will calculate the factors of 25878 and 25898 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 25898

Prime factors of 25898 are 2, 23, 563. Prime factorization of 25898 in exponential form is:

25898 = 2¹ × 23¹ × 563¹

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 25898

List of positive integer factors of 25898 that divides 25878 without a remainder.

1, 2, 23, 46, 563, 1126, 12949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25878 and 25898. The biggest common factor number is the GCF number.
So the greatest common factor 25878 and 25898 is 2.

Also check out the Least Common Multiple of 25878 and 25898