What is the Greatest Common Factor of 25249 and 25253?

Greatest common factor (GCF) of 25249 and 25253 is 1.

GCF(25249,25253) = 1

We will now calculate the prime factors of 25249 and 25253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25249 and 25253.

How to find the GCF of 25249 and 25253?

We will first find the prime factorization of 25249 and 25253. After we will calculate the factors of 25249 and 25253 and find the biggest common factor number .

Step-1: Prime Factorization of 25249

Prime factors of 25249 are 7, 3607. Prime factorization of 25249 in exponential form is:

25249 = 7¹ × 3607¹

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 25249

List of positive integer factors of 25249 that divides 25249 without a remainder.

1, 7, 3607

Step-4: Factors of 25253

List of positive integer factors of 25253 that divides 25249 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25249 and 25253. The biggest common factor number is the GCF number.
So the greatest common factor 25249 and 25253 is 1.

Also check out the Least Common Multiple of 25249 and 25253