What is the Greatest Common Factor of 10822 and 10836?

Greatest common factor (GCF) of 10822 and 10836 is 14.

GCF(10822,10836) = 14

We will now calculate the prime factors of 10822 and 10836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10822 and 10836.

How to find the GCF of 10822 and 10836?

We will first find the prime factorization of 10822 and 10836. After we will calculate the factors of 10822 and 10836 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10836

Prime factors of 10836 are 2, 3, 7, 43. Prime factorization of 10836 in exponential form is:

10836 = 2² × 3² × 7¹ × 43¹

Step-3: Factors of 10822

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

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

Step-4: Factors of 10836

List of positive integer factors of 10836 that divides 10822 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 43, 63, 84, 86, 126, 129, 172, 252, 258, 301, 387, 516, 602, 774, 903, 1204, 1548, 1806, 2709, 3612, 5418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10822 and 10836. The biggest common factor number is the GCF number.
So the greatest common factor 10822 and 10836 is 14.

Also check out the Least Common Multiple of 10822 and 10836