What is the Greatest Common Factor of 40638 and 40644?

Greatest common factor (GCF) of 40638 and 40644 is 6.

GCF(40638,40644) = 6

We will now calculate the prime factors of 40638 and 40644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40638 and 40644.

How to find the GCF of 40638 and 40644?

We will first find the prime factorization of 40638 and 40644. After we will calculate the factors of 40638 and 40644 and find the biggest common factor number .

Step-1: Prime Factorization of 40638

Prime factors of 40638 are 2, 3, 13, 521. Prime factorization of 40638 in exponential form is:

40638 = 2¹ × 3¹ × 13¹ × 521¹

Step-2: 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-3: Factors of 40638

List of positive integer factors of 40638 that divides 40638 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 521, 1042, 1563, 3126, 6773, 13546, 20319

Step-4: Factors of 40644

List of positive integer factors of 40644 that divides 40638 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40638 and 40644. The biggest common factor number is the GCF number.
So the greatest common factor 40638 and 40644 is 6.

Also check out the Least Common Multiple of 40638 and 40644