What is the Greatest Common Factor of 66822 and 66836?

Greatest common factor (GCF) of 66822 and 66836 is 14.

GCF(66822,66836) = 14

We will now calculate the prime factors of 66822 and 66836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66822 and 66836.

How to find the GCF of 66822 and 66836?

We will first find the prime factorization of 66822 and 66836. After we will calculate the factors of 66822 and 66836 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 66836

Prime factors of 66836 are 2, 7, 11, 31. Prime factorization of 66836 in exponential form is:

66836 = 2² × 7² × 11¹ × 31¹

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 66836

List of positive integer factors of 66836 that divides 66822 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 31, 44, 49, 62, 77, 98, 124, 154, 196, 217, 308, 341, 434, 539, 682, 868, 1078, 1364, 1519, 2156, 2387, 3038, 4774, 6076, 9548, 16709, 33418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66822 and 66836. The biggest common factor number is the GCF number.
So the greatest common factor 66822 and 66836 is 14.

Also check out the Least Common Multiple of 66822 and 66836