What is the Greatest Common Factor of 10814 and 10822?

Greatest common factor (GCF) of 10814 and 10822 is 2.

GCF(10814,10822) = 2

We will now calculate the prime factors of 10814 and 10822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10814 and 10822.

How to find the GCF of 10814 and 10822?

We will first find the prime factorization of 10814 and 10822. After we will calculate the factors of 10814 and 10822 and find the biggest common factor number .

Step-1: Prime Factorization of 10814

Prime factors of 10814 are 2, 5407. Prime factorization of 10814 in exponential form is:

10814 = 2¹ × 5407¹

Step-2: Prime Factorization of 10822

Prime factors of 10822 are 2, 7, 773. Prime factorization of 10822 in exponential form is:

10822 = 2¹ × 7¹ × 773¹

Step-3: Factors of 10814

List of positive integer factors of 10814 that divides 10814 without a remainder.

1, 2, 5407

Step-4: Factors of 10822

List of positive integer factors of 10822 that divides 10814 without a remainder.

1, 2, 7, 14, 773, 1546, 5411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10814 and 10822. The biggest common factor number is the GCF number.
So the greatest common factor 10814 and 10822 is 2.

Also check out the Least Common Multiple of 10814 and 10822