What is the Greatest Common Factor of 82210 and 82220?

Greatest common factor (GCF) of 82210 and 82220 is 10.

GCF(82210,82220) = 10

We will now calculate the prime factors of 82210 and 82220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82210 and 82220.

How to find the GCF of 82210 and 82220?

We will first find the prime factorization of 82210 and 82220. After we will calculate the factors of 82210 and 82220 and find the biggest common factor number .

Step-1: Prime Factorization of 82210

Prime factors of 82210 are 2, 5, 8221. Prime factorization of 82210 in exponential form is:

82210 = 2¹ × 5¹ × 8221¹

Step-2: Prime Factorization of 82220

Prime factors of 82220 are 2, 5, 4111. Prime factorization of 82220 in exponential form is:

82220 = 2² × 5¹ × 4111¹

Step-3: Factors of 82210

List of positive integer factors of 82210 that divides 82210 without a remainder.

1, 2, 5, 10, 8221, 16442, 41105

Step-4: Factors of 82220

List of positive integer factors of 82220 that divides 82210 without a remainder.

1, 2, 4, 5, 10, 20, 4111, 8222, 16444, 20555, 41110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82210 and 82220. The biggest common factor number is the GCF number.
So the greatest common factor 82210 and 82220 is 10.

Also check out the Least Common Multiple of 82210 and 82220