What is the Greatest Common Factor of 25205 and 25225?

Greatest common factor (GCF) of 25205 and 25225 is 5.

GCF(25205,25225) = 5

We will now calculate the prime factors of 25205 and 25225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25205 and 25225.

How to find the GCF of 25205 and 25225?

We will first find the prime factorization of 25205 and 25225. After we will calculate the factors of 25205 and 25225 and find the biggest common factor number .

Step-1: Prime Factorization of 25205

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

25205 = 5¹ × 71²

Step-2: Prime Factorization of 25225

Prime factors of 25225 are 5, 1009. Prime factorization of 25225 in exponential form is:

25225 = 5² × 1009¹

Step-3: Factors of 25205

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

1, 5, 71, 355, 5041

Step-4: Factors of 25225

List of positive integer factors of 25225 that divides 25205 without a remainder.

1, 5, 25, 1009, 5045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25205 and 25225. The biggest common factor number is the GCF number.
So the greatest common factor 25205 and 25225 is 5.

Also check out the Least Common Multiple of 25205 and 25225