What is the Greatest Common Factor of 21824 and 21835?

Greatest common factor (GCF) of 21824 and 21835 is 11.

GCF(21824,21835) = 11

We will now calculate the prime factors of 21824 and 21835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21824 and 21835.

How to find the GCF of 21824 and 21835?

We will first find the prime factorization of 21824 and 21835. After we will calculate the factors of 21824 and 21835 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 21835

Prime factors of 21835 are 5, 11, 397. Prime factorization of 21835 in exponential form is:

21835 = 5¹ × 11¹ × 397¹

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 21835

List of positive integer factors of 21835 that divides 21824 without a remainder.

1, 5, 11, 55, 397, 1985, 4367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21824 and 21835. The biggest common factor number is the GCF number.
So the greatest common factor 21824 and 21835 is 11.

Also check out the Least Common Multiple of 21824 and 21835