What is the Greatest Common Factor of 21822 and 21836?

Greatest common factor (GCF) of 21822 and 21836 is 2.

GCF(21822,21836) = 2

We will now calculate the prime factors of 21822 and 21836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21822 and 21836.

How to find the GCF of 21822 and 21836?

We will first find the prime factorization of 21822 and 21836. After we will calculate the factors of 21822 and 21836 and find the biggest common factor number .

Step-1: Prime Factorization of 21822

Prime factors of 21822 are 2, 3, 3637. Prime factorization of 21822 in exponential form is:

21822 = 2¹ × 3¹ × 3637¹

Step-2: Prime Factorization of 21836

Prime factors of 21836 are 2, 53, 103. Prime factorization of 21836 in exponential form is:

21836 = 2² × 53¹ × 103¹

Step-3: Factors of 21822

List of positive integer factors of 21822 that divides 21822 without a remainder.

1, 2, 3, 6, 3637, 7274, 10911

Step-4: Factors of 21836

List of positive integer factors of 21836 that divides 21822 without a remainder.

1, 2, 4, 53, 103, 106, 206, 212, 412, 5459, 10918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21822 and 21836. The biggest common factor number is the GCF number.
So the greatest common factor 21822 and 21836 is 2.

Also check out the Least Common Multiple of 21822 and 21836