What is the Greatest Common Factor of 7814 and 7822?

Greatest common factor (GCF) of 7814 and 7822 is 2.

GCF(7814,7822) = 2

We will now calculate the prime factors of 7814 and 7822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7814 and 7822.

How to find the GCF of 7814 and 7822?

We will first find the prime factorization of 7814 and 7822. After we will calculate the factors of 7814 and 7822 and find the biggest common factor number .

Step-1: Prime Factorization of 7814

Prime factors of 7814 are 2, 3907. Prime factorization of 7814 in exponential form is:

7814 = 2¹ × 3907¹

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 7814

List of positive integer factors of 7814 that divides 7814 without a remainder.

1, 2, 3907

Step-4: Factors of 7822

List of positive integer factors of 7822 that divides 7814 without a remainder.

1, 2, 3911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7814 and 7822. The biggest common factor number is the GCF number.
So the greatest common factor 7814 and 7822 is 2.

Also check out the Least Common Multiple of 7814 and 7822