What is the Greatest Common Factor of 40624 and 40638?

Greatest common factor (GCF) of 40624 and 40638 is 2.

GCF(40624,40638) = 2

We will now calculate the prime factors of 40624 and 40638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40624 and 40638.

How to find the GCF of 40624 and 40638?

We will first find the prime factorization of 40624 and 40638. After we will calculate the factors of 40624 and 40638 and find the biggest common factor number .

Step-1: Prime Factorization of 40624

Prime factors of 40624 are 2, 2539. Prime factorization of 40624 in exponential form is:

40624 = 2⁴ × 2539¹

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 40624

List of positive integer factors of 40624 that divides 40624 without a remainder.

1, 2, 4, 8, 16, 2539, 5078, 10156, 20312

Step-4: Factors of 40638

List of positive integer factors of 40638 that divides 40624 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 40624 and 40638. The biggest common factor number is the GCF number.
So the greatest common factor 40624 and 40638 is 2.

Also check out the Least Common Multiple of 40624 and 40638