What is the Greatest Common Factor of 25258 and 25275?

Greatest common factor (GCF) of 25258 and 25275 is 1.

GCF(25258,25275) = 1

We will now calculate the prime factors of 25258 and 25275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25258 and 25275.

How to find the GCF of 25258 and 25275?

We will first find the prime factorization of 25258 and 25275. After we will calculate the factors of 25258 and 25275 and find the biggest common factor number .

Step-1: Prime Factorization of 25258

Prime factors of 25258 are 2, 73, 173. Prime factorization of 25258 in exponential form is:

25258 = 2¹ × 73¹ × 173¹

Step-2: Prime Factorization of 25275

Prime factors of 25275 are 3, 5, 337. Prime factorization of 25275 in exponential form is:

25275 = 3¹ × 5² × 337¹

Step-3: Factors of 25258

List of positive integer factors of 25258 that divides 25258 without a remainder.

1, 2, 73, 146, 173, 346, 12629

Step-4: Factors of 25275

List of positive integer factors of 25275 that divides 25258 without a remainder.

1, 3, 5, 15, 25, 75, 337, 1011, 1685, 5055, 8425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25258 and 25275. The biggest common factor number is the GCF number.
So the greatest common factor 25258 and 25275 is 1.

Also check out the Least Common Multiple of 25258 and 25275