What is the Greatest Common Factor of 12774 and 12782?

Greatest common factor (GCF) of 12774 and 12782 is 2.

GCF(12774,12782) = 2

We will now calculate the prime factors of 12774 and 12782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12774 and 12782.

How to find the GCF of 12774 and 12782?

We will first find the prime factorization of 12774 and 12782. After we will calculate the factors of 12774 and 12782 and find the biggest common factor number .

Step-1: Prime Factorization of 12774

Prime factors of 12774 are 2, 3, 2129. Prime factorization of 12774 in exponential form is:

12774 = 2¹ × 3¹ × 2129¹

Step-2: 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-3: Factors of 12774

List of positive integer factors of 12774 that divides 12774 without a remainder.

1, 2, 3, 6, 2129, 4258, 6387

Step-4: Factors of 12782

List of positive integer factors of 12782 that divides 12774 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12774 and 12782. The biggest common factor number is the GCF number.
So the greatest common factor 12774 and 12782 is 2.

Also check out the Least Common Multiple of 12774 and 12782