What is the Greatest Common Factor of 25289 and 25304?

Greatest common factor (GCF) of 25289 and 25304 is 1.

GCF(25289,25304) = 1

We will now calculate the prime factors of 25289 and 25304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25289 and 25304.

How to find the GCF of 25289 and 25304?

We will first find the prime factorization of 25289 and 25304. After we will calculate the factors of 25289 and 25304 and find the biggest common factor number .

Step-1: Prime Factorization of 25289

Prime factors of 25289 are 11, 19. Prime factorization of 25289 in exponential form is:

25289 = 11³ × 19¹

Step-2: Prime Factorization of 25304

Prime factors of 25304 are 2, 3163. Prime factorization of 25304 in exponential form is:

25304 = 2³ × 3163¹

Step-3: Factors of 25289

List of positive integer factors of 25289 that divides 25289 without a remainder.

1, 11, 19, 121, 209, 1331, 2299

Step-4: Factors of 25304

List of positive integer factors of 25304 that divides 25289 without a remainder.

1, 2, 4, 8, 3163, 6326, 12652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25289 and 25304. The biggest common factor number is the GCF number.
So the greatest common factor 25289 and 25304 is 1.

Also check out the Least Common Multiple of 25289 and 25304