What is the Greatest Common Factor of 43638 and 43652?

Greatest common factor (GCF) of 43638 and 43652 is 14.

GCF(43638,43652) = 14

We will now calculate the prime factors of 43638 and 43652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43638 and 43652.

How to find the GCF of 43638 and 43652?

We will first find the prime factorization of 43638 and 43652. After we will calculate the factors of 43638 and 43652 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43652

Prime factors of 43652 are 2, 7, 1559. Prime factorization of 43652 in exponential form is:

43652 = 2² × 7¹ × 1559¹

Step-3: Factors of 43638

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

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

Step-4: Factors of 43652

List of positive integer factors of 43652 that divides 43638 without a remainder.

1, 2, 4, 7, 14, 28, 1559, 3118, 6236, 10913, 21826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43638 and 43652. The biggest common factor number is the GCF number.
So the greatest common factor 43638 and 43652 is 14.

Also check out the Least Common Multiple of 43638 and 43652