What is the Greatest Common Factor of 25259 and 25278?

Greatest common factor (GCF) of 25259 and 25278 is 1.

GCF(25259,25278) = 1

We will now calculate the prime factors of 25259 and 25278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25259 and 25278.

How to find the GCF of 25259 and 25278?

We will first find the prime factorization of 25259 and 25278. After we will calculate the factors of 25259 and 25278 and find the biggest common factor number .

Step-1: Prime Factorization of 25259

Prime factors of 25259 are 13, 29, 67. Prime factorization of 25259 in exponential form is:

25259 = 13¹ × 29¹ × 67¹

Step-2: Prime Factorization of 25278

Prime factors of 25278 are 2, 3, 11, 383. Prime factorization of 25278 in exponential form is:

25278 = 2¹ × 3¹ × 11¹ × 383¹

Step-3: Factors of 25259

List of positive integer factors of 25259 that divides 25259 without a remainder.

1, 13, 29, 67, 377, 871, 1943

Step-4: Factors of 25278

List of positive integer factors of 25278 that divides 25259 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 383, 766, 1149, 2298, 4213, 8426, 12639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25259 and 25278. The biggest common factor number is the GCF number.
So the greatest common factor 25259 and 25278 is 1.

Also check out the Least Common Multiple of 25259 and 25278