What is the Greatest Common Factor of 12815 and 12833?

Greatest common factor (GCF) of 12815 and 12833 is 1.

GCF(12815,12833) = 1

We will now calculate the prime factors of 12815 and 12833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12815 and 12833.

How to find the GCF of 12815 and 12833?

We will first find the prime factorization of 12815 and 12833. After we will calculate the factors of 12815 and 12833 and find the biggest common factor number .

Step-1: Prime Factorization of 12815

Prime factors of 12815 are 5, 11, 233. Prime factorization of 12815 in exponential form is:

12815 = 5¹ × 11¹ × 233¹

Step-2: Prime Factorization of 12833

Prime factors of 12833 are 41, 313. Prime factorization of 12833 in exponential form is:

12833 = 41¹ × 313¹

Step-3: Factors of 12815

List of positive integer factors of 12815 that divides 12815 without a remainder.

1, 5, 11, 55, 233, 1165, 2563

Step-4: Factors of 12833

List of positive integer factors of 12833 that divides 12815 without a remainder.

1, 41, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12815 and 12833. The biggest common factor number is the GCF number.
So the greatest common factor 12815 and 12833 is 1.

Also check out the Least Common Multiple of 12815 and 12833