What is the Greatest Common Factor of 40628 and 40638?

Greatest common factor (GCF) of 40628 and 40638 is 2.

GCF(40628,40638) = 2

We will now calculate the prime factors of 40628 and 40638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40628 and 40638.

How to find the GCF of 40628 and 40638?

We will first find the prime factorization of 40628 and 40638. After we will calculate the factors of 40628 and 40638 and find the biggest common factor number .

Step-1: Prime Factorization of 40628

Prime factors of 40628 are 2, 7, 1451. Prime factorization of 40628 in exponential form is:

40628 = 2² × 7¹ × 1451¹

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 40628

List of positive integer factors of 40628 that divides 40628 without a remainder.

1, 2, 4, 7, 14, 28, 1451, 2902, 5804, 10157, 20314

Step-4: Factors of 40638

List of positive integer factors of 40638 that divides 40628 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 40628 and 40638. The biggest common factor number is the GCF number.
So the greatest common factor 40628 and 40638 is 2.

Also check out the Least Common Multiple of 40628 and 40638