What is the Greatest Common Factor of 12802 and 12822?

Greatest common factor (GCF) of 12802 and 12822 is 2.

GCF(12802,12822) = 2

We will now calculate the prime factors of 12802 and 12822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12802 and 12822.

How to find the GCF of 12802 and 12822?

We will first find the prime factorization of 12802 and 12822. After we will calculate the factors of 12802 and 12822 and find the biggest common factor number .

Step-1: Prime Factorization of 12802

Prime factors of 12802 are 2, 37, 173. Prime factorization of 12802 in exponential form is:

12802 = 2¹ × 37¹ × 173¹

Step-2: Prime Factorization of 12822

Prime factors of 12822 are 2, 3, 2137. Prime factorization of 12822 in exponential form is:

12822 = 2¹ × 3¹ × 2137¹

Step-3: Factors of 12802

List of positive integer factors of 12802 that divides 12802 without a remainder.

1, 2, 37, 74, 173, 346, 6401

Step-4: Factors of 12822

List of positive integer factors of 12822 that divides 12802 without a remainder.

1, 2, 3, 6, 2137, 4274, 6411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12802 and 12822. The biggest common factor number is the GCF number.
So the greatest common factor 12802 and 12822 is 2.

Also check out the Least Common Multiple of 12802 and 12822