What is the Greatest Common Factor of 66822 and 66837?

Greatest common factor (GCF) of 66822 and 66837 is 3.

GCF(66822,66837) = 3

We will now calculate the prime factors of 66822 and 66837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66822 and 66837.

How to find the GCF of 66822 and 66837?

We will first find the prime factorization of 66822 and 66837. After we will calculate the factors of 66822 and 66837 and find the biggest common factor number .

Step-1: Prime Factorization of 66822

Prime factors of 66822 are 2, 3, 7, 37, 43. Prime factorization of 66822 in exponential form is:

66822 = 2¹ × 3¹ × 7¹ × 37¹ × 43¹

Step-2: Prime Factorization of 66837

Prime factors of 66837 are 3, 22279. Prime factorization of 66837 in exponential form is:

66837 = 3¹ × 22279¹

Step-3: Factors of 66822

List of positive integer factors of 66822 that divides 66822 without a remainder.

1, 2, 3, 6, 7, 14, 21, 37, 42, 43, 74, 86, 111, 129, 222, 258, 259, 301, 518, 602, 777, 903, 1554, 1591, 1806, 3182, 4773, 9546, 11137, 22274, 33411

Step-4: Factors of 66837

List of positive integer factors of 66837 that divides 66822 without a remainder.

1, 3, 22279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66822 and 66837. The biggest common factor number is the GCF number.
So the greatest common factor 66822 and 66837 is 3.

Also check out the Least Common Multiple of 66822 and 66837