What is the Greatest Common Factor of 25567 and 25577?

Greatest common factor (GCF) of 25567 and 25577 is 1.

GCF(25567,25577) = 1

We will now calculate the prime factors of 25567 and 25577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25567 and 25577.

How to find the GCF of 25567 and 25577?

We will first find the prime factorization of 25567 and 25577. After we will calculate the factors of 25567 and 25577 and find the biggest common factor number .

Step-1: Prime Factorization of 25567

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

25567 = 37¹ × 691¹

Step-2: Prime Factorization of 25577

Prime factors of 25577 are 25577. Prime factorization of 25577 in exponential form is:

25577 = 25577¹

Step-3: Factors of 25567

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

1, 37, 691

Step-4: Factors of 25577

List of positive integer factors of 25577 that divides 25567 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25567 and 25577. The biggest common factor number is the GCF number.
So the greatest common factor 25567 and 25577 is 1.

Also check out the Least Common Multiple of 25567 and 25577