What is the Greatest Common Factor of 40629 and 40638?

Greatest common factor (GCF) of 40629 and 40638 is 3.

GCF(40629,40638) = 3

We will now calculate the prime factors of 40629 and 40638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40629 and 40638.

How to find the GCF of 40629 and 40638?

We will first find the prime factorization of 40629 and 40638. After we will calculate the factors of 40629 and 40638 and find the biggest common factor number .

Step-1: Prime Factorization of 40629

Prime factors of 40629 are 3, 29, 467. Prime factorization of 40629 in exponential form is:

40629 = 3¹ × 29¹ × 467¹

Step-2: 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-3: Factors of 40629

List of positive integer factors of 40629 that divides 40629 without a remainder.

1, 3, 29, 87, 467, 1401, 13543

Step-4: Factors of 40638

List of positive integer factors of 40638 that divides 40629 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40629 and 40638. The biggest common factor number is the GCF number.
So the greatest common factor 40629 and 40638 is 3.

Also check out the Least Common Multiple of 40629 and 40638