What is the Greatest Common Factor of 82322 and 82338?

Greatest common factor (GCF) of 82322 and 82338 is 2.

GCF(82322,82338) = 2

We will now calculate the prime factors of 82322 and 82338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82322 and 82338.

How to find the GCF of 82322 and 82338?

We will first find the prime factorization of 82322 and 82338. After we will calculate the factors of 82322 and 82338 and find the biggest common factor number .

Step-1: Prime Factorization of 82322

Prime factors of 82322 are 2, 41161. Prime factorization of 82322 in exponential form is:

82322 = 2¹ × 41161¹

Step-2: Prime Factorization of 82338

Prime factors of 82338 are 2, 3, 13723. Prime factorization of 82338 in exponential form is:

82338 = 2¹ × 3¹ × 13723¹

Step-3: Factors of 82322

List of positive integer factors of 82322 that divides 82322 without a remainder.

1, 2, 41161

Step-4: Factors of 82338

List of positive integer factors of 82338 that divides 82322 without a remainder.

1, 2, 3, 6, 13723, 27446, 41169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82322 and 82338. The biggest common factor number is the GCF number.
So the greatest common factor 82322 and 82338 is 2.

Also check out the Least Common Multiple of 82322 and 82338