What is the Greatest Common Factor of 25826 and 25834?

Greatest common factor (GCF) of 25826 and 25834 is 2.

GCF(25826,25834) = 2

We will now calculate the prime factors of 25826 and 25834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25826 and 25834.

How to find the GCF of 25826 and 25834?

We will first find the prime factorization of 25826 and 25834. After we will calculate the factors of 25826 and 25834 and find the biggest common factor number .

Step-1: Prime Factorization of 25826

Prime factors of 25826 are 2, 37, 349. Prime factorization of 25826 in exponential form is:

25826 = 2¹ × 37¹ × 349¹

Step-2: Prime Factorization of 25834

Prime factors of 25834 are 2, 12917. Prime factorization of 25834 in exponential form is:

25834 = 2¹ × 12917¹

Step-3: Factors of 25826

List of positive integer factors of 25826 that divides 25826 without a remainder.

1, 2, 37, 74, 349, 698, 12913

Step-4: Factors of 25834

List of positive integer factors of 25834 that divides 25826 without a remainder.

1, 2, 12917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25826 and 25834. The biggest common factor number is the GCF number.
So the greatest common factor 25826 and 25834 is 2.

Also check out the Least Common Multiple of 25826 and 25834