What is the Greatest Common Factor of 52205 and 52210?

Greatest common factor (GCF) of 52205 and 52210 is 5.

GCF(52205,52210) = 5

We will now calculate the prime factors of 52205 and 52210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52205 and 52210.

How to find the GCF of 52205 and 52210?

We will first find the prime factorization of 52205 and 52210. After we will calculate the factors of 52205 and 52210 and find the biggest common factor number .

Step-1: Prime Factorization of 52205

Prime factors of 52205 are 5, 53, 197. Prime factorization of 52205 in exponential form is:

52205 = 5¹ × 53¹ × 197¹

Step-2: Prime Factorization of 52210

Prime factors of 52210 are 2, 5, 23, 227. Prime factorization of 52210 in exponential form is:

52210 = 2¹ × 5¹ × 23¹ × 227¹

Step-3: Factors of 52205

List of positive integer factors of 52205 that divides 52205 without a remainder.

1, 5, 53, 197, 265, 985, 10441

Step-4: Factors of 52210

List of positive integer factors of 52210 that divides 52205 without a remainder.

1, 2, 5, 10, 23, 46, 115, 227, 230, 454, 1135, 2270, 5221, 10442, 26105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52205 and 52210. The biggest common factor number is the GCF number.
So the greatest common factor 52205 and 52210 is 5.

Also check out the Least Common Multiple of 52205 and 52210