What is the Greatest Common Factor of 63822 and 63836?

Greatest common factor (GCF) of 63822 and 63836 is 2.

GCF(63822,63836) = 2

We will now calculate the prime factors of 63822 and 63836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63822 and 63836.

How to find the GCF of 63822 and 63836?

We will first find the prime factorization of 63822 and 63836. After we will calculate the factors of 63822 and 63836 and find the biggest common factor number .

Step-1: Prime Factorization of 63822

Prime factors of 63822 are 2, 3, 11, 967. Prime factorization of 63822 in exponential form is:

63822 = 2¹ × 3¹ × 11¹ × 967¹

Step-2: Prime Factorization of 63836

Prime factors of 63836 are 2, 15959. Prime factorization of 63836 in exponential form is:

63836 = 2² × 15959¹

Step-3: Factors of 63822

List of positive integer factors of 63822 that divides 63822 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 967, 1934, 2901, 5802, 10637, 21274, 31911

Step-4: Factors of 63836

List of positive integer factors of 63836 that divides 63822 without a remainder.

1, 2, 4, 15959, 31918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63822 and 63836. The biggest common factor number is the GCF number.
So the greatest common factor 63822 and 63836 is 2.

Also check out the Least Common Multiple of 63822 and 63836