What is the Greatest Common Factor of 20800 and 20816?

Greatest common factor (GCF) of 20800 and 20816 is 16.

GCF(20800,20816) = 16

We will now calculate the prime factors of 20800 and 20816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20800 and 20816.

How to find the GCF of 20800 and 20816?

We will first find the prime factorization of 20800 and 20816. After we will calculate the factors of 20800 and 20816 and find the biggest common factor number .

Step-1: Prime Factorization of 20800

Prime factors of 20800 are 2, 5, 13. Prime factorization of 20800 in exponential form is:

20800 = 2⁶ × 5² × 13¹

Step-2: Prime Factorization of 20816

Prime factors of 20816 are 2, 1301. Prime factorization of 20816 in exponential form is:

20816 = 2⁴ × 1301¹

Step-3: Factors of 20800

List of positive integer factors of 20800 that divides 20800 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 64, 65, 80, 100, 104, 130, 160, 200, 208, 260, 320, 325, 400, 416, 520, 650, 800, 832, 1040, 1300, 1600, 2080, 2600, 4160, 5200, 10400

Step-4: Factors of 20816

List of positive integer factors of 20816 that divides 20800 without a remainder.

1, 2, 4, 8, 16, 1301, 2602, 5204, 10408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20800 and 20816. The biggest common factor number is the GCF number.
So the greatest common factor 20800 and 20816 is 16.

Also check out the Least Common Multiple of 20800 and 20816