What is the Greatest Common Factor of 25859 and 25878?

Greatest common factor (GCF) of 25859 and 25878 is 19.

GCF(25859,25878) = 19

We will now calculate the prime factors of 25859 and 25878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25859 and 25878.

How to find the GCF of 25859 and 25878?

We will first find the prime factorization of 25859 and 25878. After we will calculate the factors of 25859 and 25878 and find the biggest common factor number .

Step-1: Prime Factorization of 25859

Prime factors of 25859 are 19, 1361. Prime factorization of 25859 in exponential form is:

25859 = 19¹ × 1361¹

Step-2: 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-3: Factors of 25859

List of positive integer factors of 25859 that divides 25859 without a remainder.

1, 19, 1361

Step-4: Factors of 25878

List of positive integer factors of 25878 that divides 25859 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25859 and 25878. The biggest common factor number is the GCF number.
So the greatest common factor 25859 and 25878 is 19.

Also check out the Least Common Multiple of 25859 and 25878