What is the Greatest Common Factor of 43632 and 43644?

Greatest common factor (GCF) of 43632 and 43644 is 12.

GCF(43632,43644) = 12

We will now calculate the prime factors of 43632 and 43644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43632 and 43644.

How to find the GCF of 43632 and 43644?

We will first find the prime factorization of 43632 and 43644. After we will calculate the factors of 43632 and 43644 and find the biggest common factor number .

Step-1: Prime Factorization of 43632

Prime factors of 43632 are 2, 3, 101. Prime factorization of 43632 in exponential form is:

43632 = 2⁴ × 3³ × 101¹

Step-2: Prime Factorization of 43644

Prime factors of 43644 are 2, 3, 3637. Prime factorization of 43644 in exponential form is:

43644 = 2² × 3¹ × 3637¹

Step-3: Factors of 43632

List of positive integer factors of 43632 that divides 43632 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 101, 108, 144, 202, 216, 303, 404, 432, 606, 808, 909, 1212, 1616, 1818, 2424, 2727, 3636, 4848, 5454, 7272, 10908, 14544, 21816

Step-4: Factors of 43644

List of positive integer factors of 43644 that divides 43632 without a remainder.

1, 2, 3, 4, 6, 12, 3637, 7274, 10911, 14548, 21822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43632 and 43644. The biggest common factor number is the GCF number.
So the greatest common factor 43632 and 43644 is 12.

Also check out the Least Common Multiple of 43632 and 43644