What is the Greatest Common Factor of 82491 and 82503?

Greatest common factor (GCF) of 82491 and 82503 is 3.

GCF(82491,82503) = 3

We will now calculate the prime factors of 82491 and 82503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82491 and 82503.

How to find the GCF of 82491 and 82503?

We will first find the prime factorization of 82491 and 82503. After we will calculate the factors of 82491 and 82503 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82503

Prime factors of 82503 are 3, 89, 103. Prime factorization of 82503 in exponential form is:

82503 = 3² × 89¹ × 103¹

Step-3: Factors of 82491

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

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

Step-4: Factors of 82503

List of positive integer factors of 82503 that divides 82491 without a remainder.

1, 3, 9, 89, 103, 267, 309, 801, 927, 9167, 27501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82491 and 82503. The biggest common factor number is the GCF number.
So the greatest common factor 82491 and 82503 is 3.

Also check out the Least Common Multiple of 82491 and 82503