What is the Greatest Common Factor of 20800 and 20810?

Greatest common factor (GCF) of 20800 and 20810 is 10.

GCF(20800,20810) = 10

We will now calculate the prime factors of 20800 and 20810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20800 and 20810.

How to find the GCF of 20800 and 20810?

We will first find the prime factorization of 20800 and 20810. After we will calculate the factors of 20800 and 20810 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 20810

Prime factors of 20810 are 2, 5, 2081. Prime factorization of 20810 in exponential form is:

20810 = 2¹ × 5¹ × 2081¹

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 20810

List of positive integer factors of 20810 that divides 20800 without a remainder.

1, 2, 5, 10, 2081, 4162, 10405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20800 and 20810. The biggest common factor number is the GCF number.
So the greatest common factor 20800 and 20810 is 10.

Also check out the Least Common Multiple of 20800 and 20810