What is the Greatest Common Factor of 82475 and 82493?

Greatest common factor (GCF) of 82475 and 82493 is 1.

GCF(82475,82493) = 1

We will now calculate the prime factors of 82475 and 82493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82475 and 82493.

How to find the GCF of 82475 and 82493?

We will first find the prime factorization of 82475 and 82493. After we will calculate the factors of 82475 and 82493 and find the biggest common factor number .

Step-1: Prime Factorization of 82475

Prime factors of 82475 are 5, 3299. Prime factorization of 82475 in exponential form is:

82475 = 5² × 3299¹

Step-2: Prime Factorization of 82493

Prime factors of 82493 are 82493. Prime factorization of 82493 in exponential form is:

82493 = 82493¹

Step-3: Factors of 82475

List of positive integer factors of 82475 that divides 82475 without a remainder.

1, 5, 25, 3299, 16495

Step-4: Factors of 82493

List of positive integer factors of 82493 that divides 82475 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82475 and 82493. The biggest common factor number is the GCF number.
So the greatest common factor 82475 and 82493 is 1.

Also check out the Least Common Multiple of 82475 and 82493