What is the Greatest Common Factor of 12805 and 12815?

Greatest common factor (GCF) of 12805 and 12815 is 5.

GCF(12805,12815) = 5

We will now calculate the prime factors of 12805 and 12815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12805 and 12815.

How to find the GCF of 12805 and 12815?

We will first find the prime factorization of 12805 and 12815. After we will calculate the factors of 12805 and 12815 and find the biggest common factor number .

Step-1: Prime Factorization of 12805

Prime factors of 12805 are 5, 13, 197. Prime factorization of 12805 in exponential form is:

12805 = 5¹ × 13¹ × 197¹

Step-2: 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-3: Factors of 12805

List of positive integer factors of 12805 that divides 12805 without a remainder.

1, 5, 13, 65, 197, 985, 2561

Step-4: Factors of 12815

List of positive integer factors of 12815 that divides 12805 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12805 and 12815. The biggest common factor number is the GCF number.
So the greatest common factor 12805 and 12815 is 5.

Also check out the Least Common Multiple of 12805 and 12815