What is the Greatest Common Factor of 66822 and 66838?

Greatest common factor (GCF) of 66822 and 66838 is 2.

GCF(66822,66838) = 2

We will now calculate the prime factors of 66822 and 66838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66822 and 66838.

How to find the GCF of 66822 and 66838?

We will first find the prime factorization of 66822 and 66838. After we will calculate the factors of 66822 and 66838 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 66838

Prime factors of 66838 are 2, 23, 1453. Prime factorization of 66838 in exponential form is:

66838 = 2¹ × 23¹ × 1453¹

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 66838

List of positive integer factors of 66838 that divides 66822 without a remainder.

1, 2, 23, 46, 1453, 2906, 33419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66822 and 66838. The biggest common factor number is the GCF number.
So the greatest common factor 66822 and 66838 is 2.

Also check out the Least Common Multiple of 66822 and 66838