What is the Greatest Common Factor of 25249 and 25256?

Greatest common factor (GCF) of 25249 and 25256 is 7.

GCF(25249,25256) = 7

We will now calculate the prime factors of 25249 and 25256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25249 and 25256.

How to find the GCF of 25249 and 25256?

We will first find the prime factorization of 25249 and 25256. After we will calculate the factors of 25249 and 25256 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 25256

Prime factors of 25256 are 2, 7, 11, 41. Prime factorization of 25256 in exponential form is:

25256 = 2³ × 7¹ × 11¹ × 41¹

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 25256

List of positive integer factors of 25256 that divides 25249 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 41, 44, 56, 77, 82, 88, 154, 164, 287, 308, 328, 451, 574, 616, 902, 1148, 1804, 2296, 3157, 3608, 6314, 12628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25249 and 25256. The biggest common factor number is the GCF number.
So the greatest common factor 25249 and 25256 is 7.

Also check out the Least Common Multiple of 25249 and 25256