What is the Greatest Common Factor of 12796 and 12810?

Greatest common factor (GCF) of 12796 and 12810 is 14.

GCF(12796,12810) = 14

We will now calculate the prime factors of 12796 and 12810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12796 and 12810.

How to find the GCF of 12796 and 12810?

We will first find the prime factorization of 12796 and 12810. After we will calculate the factors of 12796 and 12810 and find the biggest common factor number .

Step-1: Prime Factorization of 12796

Prime factors of 12796 are 2, 7, 457. Prime factorization of 12796 in exponential form is:

12796 = 2² × 7¹ × 457¹

Step-2: 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-3: Factors of 12796

List of positive integer factors of 12796 that divides 12796 without a remainder.

1, 2, 4, 7, 14, 28, 457, 914, 1828, 3199, 6398

Step-4: Factors of 12810

List of positive integer factors of 12810 that divides 12796 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12796 and 12810. The biggest common factor number is the GCF number.
So the greatest common factor 12796 and 12810 is 14.

Also check out the Least Common Multiple of 12796 and 12810