What is the Greatest Common Factor of 43648 and 43664?

Greatest common factor (GCF) of 43648 and 43664 is 16.

GCF(43648,43664) = 16

We will now calculate the prime factors of 43648 and 43664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43648 and 43664.

How to find the GCF of 43648 and 43664?

We will first find the prime factorization of 43648 and 43664. After we will calculate the factors of 43648 and 43664 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43664

Prime factors of 43664 are 2, 2729. Prime factorization of 43664 in exponential form is:

43664 = 2⁴ × 2729¹

Step-3: Factors of 43648

List of positive integer factors of 43648 that divides 43648 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

Step-4: Factors of 43664

List of positive integer factors of 43664 that divides 43648 without a remainder.

1, 2, 4, 8, 16, 2729, 5458, 10916, 21832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43648 and 43664. The biggest common factor number is the GCF number.
So the greatest common factor 43648 and 43664 is 16.

Also check out the Least Common Multiple of 43648 and 43664