What is the Greatest Common Factor of 82332 and 82337?

Greatest common factor (GCF) of 82332 and 82337 is 1.

GCF(82332,82337) = 1

We will now calculate the prime factors of 82332 and 82337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82332 and 82337.

How to find the GCF of 82332 and 82337?

We will first find the prime factorization of 82332 and 82337. After we will calculate the factors of 82332 and 82337 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 82337

Prime factors of 82337 are 137, 601. Prime factorization of 82337 in exponential form is:

82337 = 137¹ × 601¹

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 82337

List of positive integer factors of 82337 that divides 82332 without a remainder.

1, 137, 601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82332 and 82337. The biggest common factor number is the GCF number.
So the greatest common factor 82332 and 82337 is 1.

Also check out the Least Common Multiple of 82332 and 82337