What is the Greatest Common Factor of 25175 and 25190?

Greatest common factor (GCF) of 25175 and 25190 is 5.

GCF(25175,25190) = 5

We will now calculate the prime factors of 25175 and 25190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25175 and 25190.

How to find the GCF of 25175 and 25190?

We will first find the prime factorization of 25175 and 25190. After we will calculate the factors of 25175 and 25190 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 25190

Prime factors of 25190 are 2, 5, 11, 229. Prime factorization of 25190 in exponential form is:

25190 = 2¹ × 5¹ × 11¹ × 229¹

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 25190

List of positive integer factors of 25190 that divides 25175 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 229, 458, 1145, 2290, 2519, 5038, 12595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25175 and 25190. The biggest common factor number is the GCF number.
So the greatest common factor 25175 and 25190 is 5.

Also check out the Least Common Multiple of 25175 and 25190