What is the Greatest Common Factor of 25205 and 25220?

Greatest common factor (GCF) of 25205 and 25220 is 5.

GCF(25205,25220) = 5

We will now calculate the prime factors of 25205 and 25220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25205 and 25220.

How to find the GCF of 25205 and 25220?

We will first find the prime factorization of 25205 and 25220. After we will calculate the factors of 25205 and 25220 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 25220

Prime factors of 25220 are 2, 5, 13, 97. Prime factorization of 25220 in exponential form is:

25220 = 2² × 5¹ × 13¹ × 97¹

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 25220

List of positive integer factors of 25220 that divides 25205 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 97, 130, 194, 260, 388, 485, 970, 1261, 1940, 2522, 5044, 6305, 12610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25205 and 25220. The biggest common factor number is the GCF number.
So the greatest common factor 25205 and 25220 is 5.

Also check out the Least Common Multiple of 25205 and 25220