What is the Greatest Common Factor of 43632 and 43648?

Greatest common factor (GCF) of 43632 and 43648 is 16.

GCF(43632,43648) = 16

We will now calculate the prime factors of 43632 and 43648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43632 and 43648.

How to find the GCF of 43632 and 43648?

We will first find the prime factorization of 43632 and 43648. After we will calculate the factors of 43632 and 43648 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 43648

Prime factors of 43648 are 2, 11, 31. Prime factorization of 43648 in exponential form is:

43648 = 2⁷ × 11¹ × 31¹

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 43648

List of positive integer factors of 43648 that divides 43632 without a remainder.

1, 2, 4, 8, 11, 16, 22, 31, 32, 44, 62, 64, 88, 124, 128, 176, 248, 341, 352, 496, 682, 704, 992, 1364, 1408, 1984, 2728, 3968, 5456, 10912, 21824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43632 and 43648. The biggest common factor number is the GCF number.
So the greatest common factor 43632 and 43648 is 16.

Also check out the Least Common Multiple of 43632 and 43648