What is the Greatest Common Factor of 47822 and 47836?

Greatest common factor (GCF) of 47822 and 47836 is 2.

GCF(47822,47836) = 2

We will now calculate the prime factors of 47822 and 47836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47822 and 47836.

How to find the GCF of 47822 and 47836?

We will first find the prime factorization of 47822 and 47836. After we will calculate the factors of 47822 and 47836 and find the biggest common factor number .

Step-1: Prime Factorization of 47822

Prime factors of 47822 are 2, 23911. Prime factorization of 47822 in exponential form is:

47822 = 2¹ × 23911¹

Step-2: Prime Factorization of 47836

Prime factors of 47836 are 2, 11959. Prime factorization of 47836 in exponential form is:

47836 = 2² × 11959¹

Step-3: Factors of 47822

List of positive integer factors of 47822 that divides 47822 without a remainder.

1, 2, 23911

Step-4: Factors of 47836

List of positive integer factors of 47836 that divides 47822 without a remainder.

1, 2, 4, 11959, 23918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47822 and 47836. The biggest common factor number is the GCF number.
So the greatest common factor 47822 and 47836 is 2.

Also check out the Least Common Multiple of 47822 and 47836