What is the Greatest Common Factor of 25549 and 25566?

Greatest common factor (GCF) of 25549 and 25566 is 1.

GCF(25549,25566) = 1

We will now calculate the prime factors of 25549 and 25566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25549 and 25566.

How to find the GCF of 25549 and 25566?

We will first find the prime factorization of 25549 and 25566. After we will calculate the factors of 25549 and 25566 and find the biggest common factor number .

Step-1: Prime Factorization of 25549

Prime factors of 25549 are 29, 881. Prime factorization of 25549 in exponential form is:

25549 = 29¹ × 881¹

Step-2: Prime Factorization of 25566

Prime factors of 25566 are 2, 3, 4261. Prime factorization of 25566 in exponential form is:

25566 = 2¹ × 3¹ × 4261¹

Step-3: Factors of 25549

List of positive integer factors of 25549 that divides 25549 without a remainder.

1, 29, 881

Step-4: Factors of 25566

List of positive integer factors of 25566 that divides 25549 without a remainder.

1, 2, 3, 6, 4261, 8522, 12783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25549 and 25566. The biggest common factor number is the GCF number.
So the greatest common factor 25549 and 25566 is 1.

Also check out the Least Common Multiple of 25549 and 25566