What is the Greatest Common Factor of 20800 and 20813?

Greatest common factor (GCF) of 20800 and 20813 is 13.

GCF(20800,20813) = 13

We will now calculate the prime factors of 20800 and 20813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20800 and 20813.

How to find the GCF of 20800 and 20813?

We will first find the prime factorization of 20800 and 20813. After we will calculate the factors of 20800 and 20813 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 20813

Prime factors of 20813 are 13, 1601. Prime factorization of 20813 in exponential form is:

20813 = 13¹ × 1601¹

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 20813

List of positive integer factors of 20813 that divides 20800 without a remainder.

1, 13, 1601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20800 and 20813. The biggest common factor number is the GCF number.
So the greatest common factor 20800 and 20813 is 13.

Also check out the Least Common Multiple of 20800 and 20813