What is the Greatest Common Factor of 25791 and 25806?

Greatest common factor (GCF) of 25791 and 25806 is 3.

GCF(25791,25806) = 3

We will now calculate the prime factors of 25791 and 25806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25791 and 25806.

How to find the GCF of 25791 and 25806?

We will first find the prime factorization of 25791 and 25806. After we will calculate the factors of 25791 and 25806 and find the biggest common factor number .

Step-1: Prime Factorization of 25791

Prime factors of 25791 are 3, 8597. Prime factorization of 25791 in exponential form is:

25791 = 3¹ × 8597¹

Step-2: Prime Factorization of 25806

Prime factors of 25806 are 2, 3, 11, 17, 23. Prime factorization of 25806 in exponential form is:

25806 = 2¹ × 3¹ × 11¹ × 17¹ × 23¹

Step-3: Factors of 25791

List of positive integer factors of 25791 that divides 25791 without a remainder.

1, 3, 8597

Step-4: Factors of 25806

List of positive integer factors of 25806 that divides 25791 without a remainder.

1, 2, 3, 6, 11, 17, 22, 23, 33, 34, 46, 51, 66, 69, 102, 138, 187, 253, 374, 391, 506, 561, 759, 782, 1122, 1173, 1518, 2346, 4301, 8602, 12903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25791 and 25806. The biggest common factor number is the GCF number.
So the greatest common factor 25791 and 25806 is 3.

Also check out the Least Common Multiple of 25791 and 25806