What is the Greatest Common Factor of 40638 and 40653?

Greatest common factor (GCF) of 40638 and 40653 is 3.

GCF(40638,40653) = 3

We will now calculate the prime factors of 40638 and 40653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40638 and 40653.

How to find the GCF of 40638 and 40653?

We will first find the prime factorization of 40638 and 40653. After we will calculate the factors of 40638 and 40653 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 40653

Prime factors of 40653 are 3, 4517. Prime factorization of 40653 in exponential form is:

40653 = 3² × 4517¹

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 40653

List of positive integer factors of 40653 that divides 40638 without a remainder.

1, 3, 9, 4517, 13551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40638 and 40653. The biggest common factor number is the GCF number.
So the greatest common factor 40638 and 40653 is 3.

Also check out the Least Common Multiple of 40638 and 40653