What is the Greatest Common Factor of 25807 and 25822?

Greatest common factor (GCF) of 25807 and 25822 is 1.

GCF(25807,25822) = 1

We will now calculate the prime factors of 25807 and 25822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25807 and 25822.

How to find the GCF of 25807 and 25822?

We will first find the prime factorization of 25807 and 25822. After we will calculate the factors of 25807 and 25822 and find the biggest common factor number .

Step-1: Prime Factorization of 25807

Prime factors of 25807 are 131, 197. Prime factorization of 25807 in exponential form is:

25807 = 131¹ × 197¹

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 25807

List of positive integer factors of 25807 that divides 25807 without a remainder.

1, 131, 197

Step-4: Factors of 25822

List of positive integer factors of 25822 that divides 25807 without a remainder.

1, 2, 12911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25807 and 25822. The biggest common factor number is the GCF number.
So the greatest common factor 25807 and 25822 is 1.

Also check out the Least Common Multiple of 25807 and 25822