What is the Greatest Common Factor of 82475 and 82491?

Greatest common factor (GCF) of 82475 and 82491 is 1.

GCF(82475,82491) = 1

We will now calculate the prime factors of 82475 and 82491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82475 and 82491.

How to find the GCF of 82475 and 82491?

We will first find the prime factorization of 82475 and 82491. After we will calculate the factors of 82475 and 82491 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 82491

Prime factors of 82491 are 3, 31, 887. Prime factorization of 82491 in exponential form is:

82491 = 3¹ × 31¹ × 887¹

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 82491

List of positive integer factors of 82491 that divides 82475 without a remainder.

1, 3, 31, 93, 887, 2661, 27497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82475 and 82491. The biggest common factor number is the GCF number.
So the greatest common factor 82475 and 82491 is 1.

Also check out the Least Common Multiple of 82475 and 82491