What is the Greatest Common Factor of 25175 and 25186?

Greatest common factor (GCF) of 25175 and 25186 is 1.

GCF(25175,25186) = 1

We will now calculate the prime factors of 25175 and 25186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25175 and 25186.

How to find the GCF of 25175 and 25186?

We will first find the prime factorization of 25175 and 25186. After we will calculate the factors of 25175 and 25186 and find the biggest common factor number .

Step-1: Prime Factorization of 25175

Prime factors of 25175 are 5, 19, 53. Prime factorization of 25175 in exponential form is:

25175 = 5² × 19¹ × 53¹

Step-2: Prime Factorization of 25186

Prime factors of 25186 are 2, 7, 257. Prime factorization of 25186 in exponential form is:

25186 = 2¹ × 7² × 257¹

Step-3: Factors of 25175

List of positive integer factors of 25175 that divides 25175 without a remainder.

1, 5, 19, 25, 53, 95, 265, 475, 1007, 1325, 5035

Step-4: Factors of 25186

List of positive integer factors of 25186 that divides 25175 without a remainder.

1, 2, 7, 14, 49, 98, 257, 514, 1799, 3598, 12593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25175 and 25186. The biggest common factor number is the GCF number.
So the greatest common factor 25175 and 25186 is 1.

Also check out the Least Common Multiple of 25175 and 25186