What is the Greatest Common Factor of 82222 and 82228?

Greatest common factor (GCF) of 82222 and 82228 is 2.

GCF(82222,82228) = 2

We will now calculate the prime factors of 82222 and 82228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82222 and 82228.

How to find the GCF of 82222 and 82228?

We will first find the prime factorization of 82222 and 82228. After we will calculate the factors of 82222 and 82228 and find the biggest common factor number .

Step-1: Prime Factorization of 82222

Prime factors of 82222 are 2, 7, 839. Prime factorization of 82222 in exponential form is:

82222 = 2¹ × 7² × 839¹

Step-2: Prime Factorization of 82228

Prime factors of 82228 are 2, 61, 337. Prime factorization of 82228 in exponential form is:

82228 = 2² × 61¹ × 337¹

Step-3: Factors of 82222

List of positive integer factors of 82222 that divides 82222 without a remainder.

1, 2, 7, 14, 49, 98, 839, 1678, 5873, 11746, 41111

Step-4: Factors of 82228

List of positive integer factors of 82228 that divides 82222 without a remainder.

1, 2, 4, 61, 122, 244, 337, 674, 1348, 20557, 41114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82222 and 82228. The biggest common factor number is the GCF number.
So the greatest common factor 82222 and 82228 is 2.

Also check out the Least Common Multiple of 82222 and 82228