What is the Greatest Common Factor of 43629 and 43638?

Greatest common factor (GCF) of 43629 and 43638 is 3.

GCF(43629,43638) = 3

We will now calculate the prime factors of 43629 and 43638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43629 and 43638.

How to find the GCF of 43629 and 43638?

We will first find the prime factorization of 43629 and 43638. After we will calculate the factors of 43629 and 43638 and find the biggest common factor number .

Step-1: Prime Factorization of 43629

Prime factors of 43629 are 3, 14543. Prime factorization of 43629 in exponential form is:

43629 = 3¹ × 14543¹

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 43629

List of positive integer factors of 43629 that divides 43629 without a remainder.

1, 3, 14543

Step-4: Factors of 43638

List of positive integer factors of 43638 that divides 43629 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 43629 and 43638. The biggest common factor number is the GCF number.
So the greatest common factor 43629 and 43638 is 3.

Also check out the Least Common Multiple of 43629 and 43638