What is the Greatest Common Factor of 40644 and 40662?

Greatest common factor (GCF) of 40644 and 40662 is 18.

GCF(40644,40662) = 18

We will now calculate the prime factors of 40644 and 40662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40644 and 40662.

How to find the GCF of 40644 and 40662?

We will first find the prime factorization of 40644 and 40662. After we will calculate the factors of 40644 and 40662 and find the biggest common factor number .

Step-1: Prime Factorization of 40644

Prime factors of 40644 are 2, 3, 1129. Prime factorization of 40644 in exponential form is:

40644 = 2² × 3² × 1129¹

Step-2: Prime Factorization of 40662

Prime factors of 40662 are 2, 3, 251. Prime factorization of 40662 in exponential form is:

40662 = 2¹ × 3⁴ × 251¹

Step-3: Factors of 40644

List of positive integer factors of 40644 that divides 40644 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1129, 2258, 3387, 4516, 6774, 10161, 13548, 20322

Step-4: Factors of 40662

List of positive integer factors of 40662 that divides 40644 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 251, 502, 753, 1506, 2259, 4518, 6777, 13554, 20331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40644 and 40662. The biggest common factor number is the GCF number.
So the greatest common factor 40644 and 40662 is 18.

Also check out the Least Common Multiple of 40644 and 40662