What is the Greatest Common Factor of 21824 and 21832?

Greatest common factor (GCF) of 21824 and 21832 is 8.

GCF(21824,21832) = 8

We will now calculate the prime factors of 21824 and 21832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21824 and 21832.

How to find the GCF of 21824 and 21832?

We will first find the prime factorization of 21824 and 21832. After we will calculate the factors of 21824 and 21832 and find the biggest common factor number .

Step-1: Prime Factorization of 21824

Prime factors of 21824 are 2, 11, 31. Prime factorization of 21824 in exponential form is:

21824 = 2⁶ × 11¹ × 31¹

Step-2: Prime Factorization of 21832

Prime factors of 21832 are 2, 2729. Prime factorization of 21832 in exponential form is:

21832 = 2³ × 2729¹

Step-3: Factors of 21824

List of positive integer factors of 21824 that divides 21824 without a remainder.

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

Step-4: Factors of 21832

List of positive integer factors of 21832 that divides 21824 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21824 and 21832. The biggest common factor number is the GCF number.
So the greatest common factor 21824 and 21832 is 8.

Also check out the Least Common Multiple of 21824 and 21832