What is the Greatest Common Factor of 82332 and 82342?

Greatest common factor (GCF) of 82332 and 82342 is 2.

GCF(82332,82342) = 2

We will now calculate the prime factors of 82332 and 82342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82332 and 82342.

How to find the GCF of 82332 and 82342?

We will first find the prime factorization of 82332 and 82342. After we will calculate the factors of 82332 and 82342 and find the biggest common factor number .

Step-1: Prime Factorization of 82332

Prime factors of 82332 are 2, 3, 2287. Prime factorization of 82332 in exponential form is:

82332 = 2² × 3² × 2287¹

Step-2: Prime Factorization of 82342

Prime factors of 82342 are 2, 13, 3167. Prime factorization of 82342 in exponential form is:

82342 = 2¹ × 13¹ × 3167¹

Step-3: Factors of 82332

List of positive integer factors of 82332 that divides 82332 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2287, 4574, 6861, 9148, 13722, 20583, 27444, 41166

Step-4: Factors of 82342

List of positive integer factors of 82342 that divides 82332 without a remainder.

1, 2, 13, 26, 3167, 6334, 41171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82332 and 82342. The biggest common factor number is the GCF number.
So the greatest common factor 82332 and 82342 is 2.

Also check out the Least Common Multiple of 82332 and 82342