What is the Greatest Common Factor of 43620 and 43632?

Greatest common factor (GCF) of 43620 and 43632 is 12.

GCF(43620,43632) = 12

We will now calculate the prime factors of 43620 and 43632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43620 and 43632.

How to find the GCF of 43620 and 43632?

We will first find the prime factorization of 43620 and 43632. After we will calculate the factors of 43620 and 43632 and find the biggest common factor number .

Step-1: Prime Factorization of 43620

Prime factors of 43620 are 2, 3, 5, 727. Prime factorization of 43620 in exponential form is:

43620 = 2² × 3¹ × 5¹ × 727¹

Step-2: 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-3: Factors of 43620

List of positive integer factors of 43620 that divides 43620 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 727, 1454, 2181, 2908, 3635, 4362, 7270, 8724, 10905, 14540, 21810

Step-4: Factors of 43632

List of positive integer factors of 43632 that divides 43620 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43620 and 43632. The biggest common factor number is the GCF number.
So the greatest common factor 43620 and 43632 is 12.

Also check out the Least Common Multiple of 43620 and 43632