What is the Greatest Common Factor of 43626 and 43638?

Greatest common factor (GCF) of 43626 and 43638 is 6.

GCF(43626,43638) = 6

We will now calculate the prime factors of 43626 and 43638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43626 and 43638.

How to find the GCF of 43626 and 43638?

We will first find the prime factorization of 43626 and 43638. After we will calculate the factors of 43626 and 43638 and find the biggest common factor number .

Step-1: Prime Factorization of 43626

Prime factors of 43626 are 2, 3, 11, 661. Prime factorization of 43626 in exponential form is:

43626 = 2¹ × 3¹ × 11¹ × 661¹

Step-2: Prime Factorization of 43638

Prime factors of 43638 are 2, 3, 7, 1039. Prime factorization of 43638 in exponential form is:

43638 = 2¹ × 3¹ × 7¹ × 1039¹

Step-3: Factors of 43626

List of positive integer factors of 43626 that divides 43626 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 661, 1322, 1983, 3966, 7271, 14542, 21813

Step-4: Factors of 43638

List of positive integer factors of 43638 that divides 43626 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1039, 2078, 3117, 6234, 7273, 14546, 21819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43626 and 43638. The biggest common factor number is the GCF number.
So the greatest common factor 43626 and 43638 is 6.

Also check out the Least Common Multiple of 43626 and 43638