What is the Greatest Common Factor of 25175 and 25183?

Greatest common factor (GCF) of 25175 and 25183 is 1.

GCF(25175,25183) = 1

We will now calculate the prime factors of 25175 and 25183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25175 and 25183.

How to find the GCF of 25175 and 25183?

We will first find the prime factorization of 25175 and 25183. After we will calculate the factors of 25175 and 25183 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 25183

Prime factors of 25183 are 25183. Prime factorization of 25183 in exponential form is:

25183 = 25183¹

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 25183

List of positive integer factors of 25183 that divides 25175 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25175 and 25183. The biggest common factor number is the GCF number.
So the greatest common factor 25175 and 25183 is 1.

Also check out the Least Common Multiple of 25175 and 25183