What is the Greatest Common Factor of 25256 and 25267?

Greatest common factor (GCF) of 25256 and 25267 is 11.

GCF(25256,25267) = 11

We will now calculate the prime factors of 25256 and 25267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25256 and 25267.

How to find the GCF of 25256 and 25267?

We will first find the prime factorization of 25256 and 25267. After we will calculate the factors of 25256 and 25267 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25267

Prime factors of 25267 are 11, 2297. Prime factorization of 25267 in exponential form is:

25267 = 11¹ × 2297¹

Step-3: Factors of 25256

List of positive integer factors of 25256 that divides 25256 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

Step-4: Factors of 25267

List of positive integer factors of 25267 that divides 25256 without a remainder.

1, 11, 2297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25256 and 25267. The biggest common factor number is the GCF number.
So the greatest common factor 25256 and 25267 is 11.

Also check out the Least Common Multiple of 25256 and 25267