What is the Greatest Common Factor of 82330 and 82345?

Greatest common factor (GCF) of 82330 and 82345 is 5.

GCF(82330,82345) = 5

We will now calculate the prime factors of 82330 and 82345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82330 and 82345.

How to find the GCF of 82330 and 82345?

We will first find the prime factorization of 82330 and 82345. After we will calculate the factors of 82330 and 82345 and find the biggest common factor number .

Step-1: Prime Factorization of 82330

Prime factors of 82330 are 2, 5, 8233. Prime factorization of 82330 in exponential form is:

82330 = 2¹ × 5¹ × 8233¹

Step-2: Prime Factorization of 82345

Prime factors of 82345 are 5, 43, 383. Prime factorization of 82345 in exponential form is:

82345 = 5¹ × 43¹ × 383¹

Step-3: Factors of 82330

List of positive integer factors of 82330 that divides 82330 without a remainder.

1, 2, 5, 10, 8233, 16466, 41165

Step-4: Factors of 82345

List of positive integer factors of 82345 that divides 82330 without a remainder.

1, 5, 43, 215, 383, 1915, 16469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82330 and 82345. The biggest common factor number is the GCF number.
So the greatest common factor 82330 and 82345 is 5.

Also check out the Least Common Multiple of 82330 and 82345