What is the Greatest Common Factor of 11822 and 11836?

Greatest common factor (GCF) of 11822 and 11836 is 2.

GCF(11822,11836) = 2

We will now calculate the prime factors of 11822 and 11836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11822 and 11836.

How to find the GCF of 11822 and 11836?

We will first find the prime factorization of 11822 and 11836. After we will calculate the factors of 11822 and 11836 and find the biggest common factor number .

Step-1: Prime Factorization of 11822

Prime factors of 11822 are 2, 23, 257. Prime factorization of 11822 in exponential form is:

11822 = 2¹ × 23¹ × 257¹

Step-2: Prime Factorization of 11836

Prime factors of 11836 are 2, 11, 269. Prime factorization of 11836 in exponential form is:

11836 = 2² × 11¹ × 269¹

Step-3: Factors of 11822

List of positive integer factors of 11822 that divides 11822 without a remainder.

1, 2, 23, 46, 257, 514, 5911

Step-4: Factors of 11836

List of positive integer factors of 11836 that divides 11822 without a remainder.

1, 2, 4, 11, 22, 44, 269, 538, 1076, 2959, 5918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11822 and 11836. The biggest common factor number is the GCF number.
So the greatest common factor 11822 and 11836 is 2.

Also check out the Least Common Multiple of 11822 and 11836