What is the Greatest Common Factor of 43624 and 43632?

Greatest common factor (GCF) of 43624 and 43632 is 8.

GCF(43624,43632) = 8

We will now calculate the prime factors of 43624 and 43632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43624 and 43632.

How to find the GCF of 43624 and 43632?

We will first find the prime factorization of 43624 and 43632. After we will calculate the factors of 43624 and 43632 and find the biggest common factor number .

Step-1: Prime Factorization of 43624

Prime factors of 43624 are 2, 7, 19, 41. Prime factorization of 43624 in exponential form is:

43624 = 2³ × 7¹ × 19¹ × 41¹

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 43624

List of positive integer factors of 43624 that divides 43624 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 41, 56, 76, 82, 133, 152, 164, 266, 287, 328, 532, 574, 779, 1064, 1148, 1558, 2296, 3116, 5453, 6232, 10906, 21812

Step-4: Factors of 43632

List of positive integer factors of 43632 that divides 43624 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 43624 and 43632. The biggest common factor number is the GCF number.
So the greatest common factor 43624 and 43632 is 8.

Also check out the Least Common Multiple of 43624 and 43632