What is the Greatest Common Factor of 43617 and 43632?

Greatest common factor (GCF) of 43617 and 43632 is 3.

GCF(43617,43632) = 3

We will now calculate the prime factors of 43617 and 43632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43617 and 43632.

How to find the GCF of 43617 and 43632?

We will first find the prime factorization of 43617 and 43632. After we will calculate the factors of 43617 and 43632 and find the biggest common factor number .

Step-1: Prime Factorization of 43617

Prime factors of 43617 are 3, 7, 31, 67. Prime factorization of 43617 in exponential form is:

43617 = 3¹ × 7¹ × 31¹ × 67¹

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 43617

List of positive integer factors of 43617 that divides 43617 without a remainder.

1, 3, 7, 21, 31, 67, 93, 201, 217, 469, 651, 1407, 2077, 6231, 14539

Step-4: Factors of 43632

List of positive integer factors of 43632 that divides 43617 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 43617 and 43632. The biggest common factor number is the GCF number.
So the greatest common factor 43617 and 43632 is 3.

Also check out the Least Common Multiple of 43617 and 43632