What is the Greatest Common Factor of 25239 and 25253?

Greatest common factor (GCF) of 25239 and 25253 is 1.

GCF(25239,25253) = 1

We will now calculate the prime factors of 25239 and 25253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25239 and 25253.

How to find the GCF of 25239 and 25253?

We will first find the prime factorization of 25239 and 25253. After we will calculate the factors of 25239 and 25253 and find the biggest common factor number .

Step-1: Prime Factorization of 25239

Prime factors of 25239 are 3, 47, 179. Prime factorization of 25239 in exponential form is:

25239 = 3¹ × 47¹ × 179¹

Step-2: Prime Factorization of 25253

Prime factors of 25253 are 25253. Prime factorization of 25253 in exponential form is:

25253 = 25253¹

Step-3: Factors of 25239

List of positive integer factors of 25239 that divides 25239 without a remainder.

1, 3, 47, 141, 179, 537, 8413

Step-4: Factors of 25253

List of positive integer factors of 25253 that divides 25239 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25239 and 25253. The biggest common factor number is the GCF number.
So the greatest common factor 25239 and 25253 is 1.

Also check out the Least Common Multiple of 25239 and 25253