What is the Greatest Common Factor of 21820 and 21824?

Greatest common factor (GCF) of 21820 and 21824 is 4.

GCF(21820,21824) = 4

We will now calculate the prime factors of 21820 and 21824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21820 and 21824.

How to find the GCF of 21820 and 21824?

We will first find the prime factorization of 21820 and 21824. After we will calculate the factors of 21820 and 21824 and find the biggest common factor number .

Step-1: Prime Factorization of 21820

Prime factors of 21820 are 2, 5, 1091. Prime factorization of 21820 in exponential form is:

21820 = 2² × 5¹ × 1091¹

Step-2: 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-3: Factors of 21820

List of positive integer factors of 21820 that divides 21820 without a remainder.

1, 2, 4, 5, 10, 20, 1091, 2182, 4364, 5455, 10910

Step-4: Factors of 21824

List of positive integer factors of 21824 that divides 21820 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21820 and 21824. The biggest common factor number is the GCF number.
So the greatest common factor 21820 and 21824 is 4.

Also check out the Least Common Multiple of 21820 and 21824