What is the Greatest Common Factor of 25274 and 25287?

Greatest common factor (GCF) of 25274 and 25287 is 1.

GCF(25274,25287) = 1

We will now calculate the prime factors of 25274 and 25287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25274 and 25287.

How to find the GCF of 25274 and 25287?

We will first find the prime factorization of 25274 and 25287. After we will calculate the factors of 25274 and 25287 and find the biggest common factor number .

Step-1: Prime Factorization of 25274

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

25274 = 2¹ × 12637¹

Step-2: Prime Factorization of 25287

Prime factors of 25287 are 3, 8429. Prime factorization of 25287 in exponential form is:

25287 = 3¹ × 8429¹

Step-3: Factors of 25274

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

1, 2, 12637

Step-4: Factors of 25287

List of positive integer factors of 25287 that divides 25274 without a remainder.

1, 3, 8429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25274 and 25287. The biggest common factor number is the GCF number.
So the greatest common factor 25274 and 25287 is 1.

Also check out the Least Common Multiple of 25274 and 25287