What is the Greatest Common Factor of 82503 and 82513?

Greatest common factor (GCF) of 82503 and 82513 is 1.

GCF(82503,82513) = 1

We will now calculate the prime factors of 82503 and 82513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82503 and 82513.

How to find the GCF of 82503 and 82513?

We will first find the prime factorization of 82503 and 82513. After we will calculate the factors of 82503 and 82513 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82513

Prime factors of 82513 are 109, 757. Prime factorization of 82513 in exponential form is:

82513 = 109¹ × 757¹

Step-3: Factors of 82503

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

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

Step-4: Factors of 82513

List of positive integer factors of 82513 that divides 82503 without a remainder.

1, 109, 757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82503 and 82513. The biggest common factor number is the GCF number.
So the greatest common factor 82503 and 82513 is 1.

Also check out the Least Common Multiple of 82503 and 82513