What is the Greatest Common Factor of 82325 and 82338?

Greatest common factor (GCF) of 82325 and 82338 is 1.

GCF(82325,82338) = 1

We will now calculate the prime factors of 82325 and 82338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82325 and 82338.

How to find the GCF of 82325 and 82338?

We will first find the prime factorization of 82325 and 82338. After we will calculate the factors of 82325 and 82338 and find the biggest common factor number .

Step-1: Prime Factorization of 82325

Prime factors of 82325 are 5, 37, 89. Prime factorization of 82325 in exponential form is:

82325 = 5² × 37¹ × 89¹

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 82325

List of positive integer factors of 82325 that divides 82325 without a remainder.

1, 5, 25, 37, 89, 185, 445, 925, 2225, 3293, 16465

Step-4: Factors of 82338

List of positive integer factors of 82338 that divides 82325 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82325 and 82338. The biggest common factor number is the GCF number.
So the greatest common factor 82325 and 82338 is 1.

Also check out the Least Common Multiple of 82325 and 82338