What is the Greatest Common Factor of 85205 and 85210?

Greatest common factor (GCF) of 85205 and 85210 is 5.

GCF(85205,85210) = 5

We will now calculate the prime factors of 85205 and 85210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85205 and 85210.

How to find the GCF of 85205 and 85210?

We will first find the prime factorization of 85205 and 85210. After we will calculate the factors of 85205 and 85210 and find the biggest common factor number .

Step-1: Prime Factorization of 85205

Prime factors of 85205 are 5, 17041. Prime factorization of 85205 in exponential form is:

85205 = 5¹ × 17041¹

Step-2: Prime Factorization of 85210

Prime factors of 85210 are 2, 5, 8521. Prime factorization of 85210 in exponential form is:

85210 = 2¹ × 5¹ × 8521¹

Step-3: Factors of 85205

List of positive integer factors of 85205 that divides 85205 without a remainder.

1, 5, 17041

Step-4: Factors of 85210

List of positive integer factors of 85210 that divides 85205 without a remainder.

1, 2, 5, 10, 8521, 17042, 42605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85205 and 85210. The biggest common factor number is the GCF number.
So the greatest common factor 85205 and 85210 is 5.

Also check out the Least Common Multiple of 85205 and 85210