What is the Greatest Common Factor of 12782 and 12796?

Greatest common factor (GCF) of 12782 and 12796 is 14.

GCF(12782,12796) = 14

We will now calculate the prime factors of 12782 and 12796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12782 and 12796.

How to find the GCF of 12782 and 12796?

We will first find the prime factorization of 12782 and 12796. After we will calculate the factors of 12782 and 12796 and find the biggest common factor number .

Step-1: Prime Factorization of 12782

Prime factors of 12782 are 2, 7, 11, 83. Prime factorization of 12782 in exponential form is:

12782 = 2¹ × 7¹ × 11¹ × 83¹

Step-2: 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-3: Factors of 12782

List of positive integer factors of 12782 that divides 12782 without a remainder.

1, 2, 7, 11, 14, 22, 77, 83, 154, 166, 581, 913, 1162, 1826, 6391

Step-4: Factors of 12796

List of positive integer factors of 12796 that divides 12782 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12782 and 12796. The biggest common factor number is the GCF number.
So the greatest common factor 12782 and 12796 is 14.

Also check out the Least Common Multiple of 12782 and 12796