What is the Greatest Common Factor of 12810 and 12815?

Greatest common factor (GCF) of 12810 and 12815 is 5.

GCF(12810,12815) = 5

We will now calculate the prime factors of 12810 and 12815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12810 and 12815.

How to find the GCF of 12810 and 12815?

We will first find the prime factorization of 12810 and 12815. After we will calculate the factors of 12810 and 12815 and find the biggest common factor number .

Step-1: Prime Factorization of 12810

Prime factors of 12810 are 2, 3, 5, 7, 61. Prime factorization of 12810 in exponential form is:

12810 = 2¹ × 3¹ × 5¹ × 7¹ × 61¹

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 12810

List of positive integer factors of 12810 that divides 12810 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 61, 70, 105, 122, 183, 210, 305, 366, 427, 610, 854, 915, 1281, 1830, 2135, 2562, 4270, 6405

Step-4: Factors of 12815

List of positive integer factors of 12815 that divides 12810 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12810 and 12815. The biggest common factor number is the GCF number.
So the greatest common factor 12810 and 12815 is 5.

Also check out the Least Common Multiple of 12810 and 12815