What is the Greatest Common Factor of 10205 and 10225?

Greatest common factor (GCF) of 10205 and 10225 is 5.

GCF(10205,10225) = 5

We will now calculate the prime factors of 10205 and 10225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10205 and 10225.

How to find the GCF of 10205 and 10225?

We will first find the prime factorization of 10205 and 10225. After we will calculate the factors of 10205 and 10225 and find the biggest common factor number .

Step-1: Prime Factorization of 10205

Prime factors of 10205 are 5, 13, 157. Prime factorization of 10205 in exponential form is:

10205 = 5¹ × 13¹ × 157¹

Step-2: Prime Factorization of 10225

Prime factors of 10225 are 5, 409. Prime factorization of 10225 in exponential form is:

10225 = 5² × 409¹

Step-3: Factors of 10205

List of positive integer factors of 10205 that divides 10205 without a remainder.

1, 5, 13, 65, 157, 785, 2041

Step-4: Factors of 10225

List of positive integer factors of 10225 that divides 10205 without a remainder.

1, 5, 25, 409, 2045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10205 and 10225. The biggest common factor number is the GCF number.
So the greatest common factor 10205 and 10225 is 5.

Also check out the Least Common Multiple of 10205 and 10225