What is the Greatest Common Factor of 25548 and 25567?

Greatest common factor (GCF) of 25548 and 25567 is 1.

GCF(25548,25567) = 1

We will now calculate the prime factors of 25548 and 25567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25548 and 25567.

How to find the GCF of 25548 and 25567?

We will first find the prime factorization of 25548 and 25567. After we will calculate the factors of 25548 and 25567 and find the biggest common factor number .

Step-1: Prime Factorization of 25548

Prime factors of 25548 are 2, 3, 2129. Prime factorization of 25548 in exponential form is:

25548 = 2² × 3¹ × 2129¹

Step-2: Prime Factorization of 25567

Prime factors of 25567 are 37, 691. Prime factorization of 25567 in exponential form is:

25567 = 37¹ × 691¹

Step-3: Factors of 25548

List of positive integer factors of 25548 that divides 25548 without a remainder.

1, 2, 3, 4, 6, 12, 2129, 4258, 6387, 8516, 12774

Step-4: Factors of 25567

List of positive integer factors of 25567 that divides 25548 without a remainder.

1, 37, 691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25548 and 25567. The biggest common factor number is the GCF number.
So the greatest common factor 25548 and 25567 is 1.

Also check out the Least Common Multiple of 25548 and 25567