What is the Greatest Common Factor of 7818 and 7822?

Greatest common factor (GCF) of 7818 and 7822 is 2.

GCF(7818,7822) = 2

We will now calculate the prime factors of 7818 and 7822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7818 and 7822.

How to find the GCF of 7818 and 7822?

We will first find the prime factorization of 7818 and 7822. After we will calculate the factors of 7818 and 7822 and find the biggest common factor number .

Step-1: Prime Factorization of 7818

Prime factors of 7818 are 2, 3, 1303. Prime factorization of 7818 in exponential form is:

7818 = 2¹ × 3¹ × 1303¹

Step-2: Prime Factorization of 7822

Prime factors of 7822 are 2, 3911. Prime factorization of 7822 in exponential form is:

7822 = 2¹ × 3911¹

Step-3: Factors of 7818

List of positive integer factors of 7818 that divides 7818 without a remainder.

1, 2, 3, 6, 1303, 2606, 3909

Step-4: Factors of 7822

List of positive integer factors of 7822 that divides 7818 without a remainder.

1, 2, 3911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7818 and 7822. The biggest common factor number is the GCF number.
So the greatest common factor 7818 and 7822 is 2.

Also check out the Least Common Multiple of 7818 and 7822