What is the Greatest Common Factor of 43632 and 43641?

Greatest common factor (GCF) of 43632 and 43641 is 9.

GCF(43632,43641) = 9

We will now calculate the prime factors of 43632 and 43641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43632 and 43641.

How to find the GCF of 43632 and 43641?

We will first find the prime factorization of 43632 and 43641. After we will calculate the factors of 43632 and 43641 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 43641

Prime factors of 43641 are 3, 13, 373. Prime factorization of 43641 in exponential form is:

43641 = 3² × 13¹ × 373¹

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 43641

List of positive integer factors of 43641 that divides 43632 without a remainder.

1, 3, 9, 13, 39, 117, 373, 1119, 3357, 4849, 14547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43632 and 43641. The biggest common factor number is the GCF number.
So the greatest common factor 43632 and 43641 is 9.

Also check out the Least Common Multiple of 43632 and 43641