What is the Greatest Common Factor of 25806 and 25822?

Greatest common factor (GCF) of 25806 and 25822 is 2.

GCF(25806,25822) = 2

We will now calculate the prime factors of 25806 and 25822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25806 and 25822.

How to find the GCF of 25806 and 25822?

We will first find the prime factorization of 25806 and 25822. After we will calculate the factors of 25806 and 25822 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25822

Prime factors of 25822 are 2, 12911. Prime factorization of 25822 in exponential form is:

25822 = 2¹ × 12911¹

Step-3: Factors of 25806

List of positive integer factors of 25806 that divides 25806 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

Step-4: Factors of 25822

List of positive integer factors of 25822 that divides 25806 without a remainder.

1, 2, 12911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25806 and 25822. The biggest common factor number is the GCF number.
So the greatest common factor 25806 and 25822 is 2.

Also check out the Least Common Multiple of 25806 and 25822