What is the Greatest Common Factor of 82497 and 82503?

Greatest common factor (GCF) of 82497 and 82503 is 3.

GCF(82497,82503) = 3

We will now calculate the prime factors of 82497 and 82503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82497 and 82503.

How to find the GCF of 82497 and 82503?

We will first find the prime factorization of 82497 and 82503. After we will calculate the factors of 82497 and 82503 and find the biggest common factor number .

Step-1: Prime Factorization of 82497

Prime factors of 82497 are 3, 107, 257. Prime factorization of 82497 in exponential form is:

82497 = 3¹ × 107¹ × 257¹

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 82497

List of positive integer factors of 82497 that divides 82497 without a remainder.

1, 3, 107, 257, 321, 771, 27499

Step-4: Factors of 82503

List of positive integer factors of 82503 that divides 82497 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 82497 and 82503. The biggest common factor number is the GCF number.
So the greatest common factor 82497 and 82503 is 3.

Also check out the Least Common Multiple of 82497 and 82503