What is the Greatest Common Factor of 25190 and 25205?

Greatest common factor (GCF) of 25190 and 25205 is 5.

GCF(25190,25205) = 5

We will now calculate the prime factors of 25190 and 25205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25190 and 25205.

How to find the GCF of 25190 and 25205?

We will first find the prime factorization of 25190 and 25205. After we will calculate the factors of 25190 and 25205 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25205

Prime factors of 25205 are 5, 71. Prime factorization of 25205 in exponential form is:

25205 = 5¹ × 71²

Step-3: Factors of 25190

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

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

Step-4: Factors of 25205

List of positive integer factors of 25205 that divides 25190 without a remainder.

1, 5, 71, 355, 5041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25190 and 25205. The biggest common factor number is the GCF number.
So the greatest common factor 25190 and 25205 is 5.

Also check out the Least Common Multiple of 25190 and 25205