What is the Greatest Common Factor of 25577 and 25597?

Greatest common factor (GCF) of 25577 and 25597 is 1.

GCF(25577,25597) = 1

We will now calculate the prime factors of 25577 and 25597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25577 and 25597.

How to find the GCF of 25577 and 25597?

We will first find the prime factorization of 25577 and 25597. After we will calculate the factors of 25577 and 25597 and find the biggest common factor number .

Step-1: Prime Factorization of 25577

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

25577 = 25577¹

Step-2: Prime Factorization of 25597

Prime factors of 25597 are 11, 13, 179. Prime factorization of 25597 in exponential form is:

25597 = 11¹ × 13¹ × 179¹

Step-3: Factors of 25577

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

Step-4: Factors of 25597

List of positive integer factors of 25597 that divides 25577 without a remainder.

1, 11, 13, 143, 179, 1969, 2327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25577 and 25597. The biggest common factor number is the GCF number.
So the greatest common factor 25577 and 25597 is 1.

Also check out the Least Common Multiple of 25577 and 25597