What is the Greatest Common Factor of 25259 and 25274?

Greatest common factor (GCF) of 25259 and 25274 is 1.

GCF(25259,25274) = 1

We will now calculate the prime factors of 25259 and 25274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25259 and 25274.

How to find the GCF of 25259 and 25274?

We will first find the prime factorization of 25259 and 25274. After we will calculate the factors of 25259 and 25274 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 25274

Prime factors of 25274 are 2, 12637. Prime factorization of 25274 in exponential form is:

25274 = 2¹ × 12637¹

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 25274

List of positive integer factors of 25274 that divides 25259 without a remainder.

1, 2, 12637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25259 and 25274. The biggest common factor number is the GCF number.
So the greatest common factor 25259 and 25274 is 1.

Also check out the Least Common Multiple of 25259 and 25274