What is the Greatest Common Factor of 25666 and 25675?

Greatest common factor (GCF) of 25666 and 25675 is 1.

GCF(25666,25675) = 1

We will now calculate the prime factors of 25666 and 25675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25666 and 25675.

How to find the GCF of 25666 and 25675?

We will first find the prime factorization of 25666 and 25675. After we will calculate the factors of 25666 and 25675 and find the biggest common factor number .

Step-1: Prime Factorization of 25666

Prime factors of 25666 are 2, 41, 313. Prime factorization of 25666 in exponential form is:

25666 = 2¹ × 41¹ × 313¹

Step-2: Prime Factorization of 25675

Prime factors of 25675 are 5, 13, 79. Prime factorization of 25675 in exponential form is:

25675 = 5² × 13¹ × 79¹

Step-3: Factors of 25666

List of positive integer factors of 25666 that divides 25666 without a remainder.

1, 2, 41, 82, 313, 626, 12833

Step-4: Factors of 25675

List of positive integer factors of 25675 that divides 25666 without a remainder.

1, 5, 13, 25, 65, 79, 325, 395, 1027, 1975, 5135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25666 and 25675. The biggest common factor number is the GCF number.
So the greatest common factor 25666 and 25675 is 1.

Also check out the Least Common Multiple of 25666 and 25675