What is the Greatest Common Factor of 36822 and 36839?

Greatest common factor (GCF) of 36822 and 36839 is 17.

GCF(36822,36839) = 17

We will now calculate the prime factors of 36822 and 36839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36822 and 36839.

How to find the GCF of 36822 and 36839?

We will first find the prime factorization of 36822 and 36839. After we will calculate the factors of 36822 and 36839 and find the biggest common factor number .

Step-1: Prime Factorization of 36822

Prime factors of 36822 are 2, 3, 17, 19. Prime factorization of 36822 in exponential form is:

36822 = 2¹ × 3¹ × 17¹ × 19²

Step-2: Prime Factorization of 36839

Prime factors of 36839 are 11, 17, 197. Prime factorization of 36839 in exponential form is:

36839 = 11¹ × 17¹ × 197¹

Step-3: Factors of 36822

List of positive integer factors of 36822 that divides 36822 without a remainder.

1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 361, 646, 722, 969, 1083, 1938, 2166, 6137, 12274, 18411

Step-4: Factors of 36839

List of positive integer factors of 36839 that divides 36822 without a remainder.

1, 11, 17, 187, 197, 2167, 3349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36822 and 36839. The biggest common factor number is the GCF number.
So the greatest common factor 36822 and 36839 is 17.

Also check out the Least Common Multiple of 36822 and 36839