What is the Greatest Common Factor of 20799 and 20805?

Greatest common factor (GCF) of 20799 and 20805 is 3.

GCF(20799,20805) = 3

We will now calculate the prime factors of 20799 and 20805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20799 and 20805.

How to find the GCF of 20799 and 20805?

We will first find the prime factorization of 20799 and 20805. After we will calculate the factors of 20799 and 20805 and find the biggest common factor number .

Step-1: Prime Factorization of 20799

Prime factors of 20799 are 3, 2311. Prime factorization of 20799 in exponential form is:

20799 = 3² × 2311¹

Step-2: Prime Factorization of 20805

Prime factors of 20805 are 3, 5, 19, 73. Prime factorization of 20805 in exponential form is:

20805 = 3¹ × 5¹ × 19¹ × 73¹

Step-3: Factors of 20799

List of positive integer factors of 20799 that divides 20799 without a remainder.

1, 3, 9, 2311, 6933

Step-4: Factors of 20805

List of positive integer factors of 20805 that divides 20799 without a remainder.

1, 3, 5, 15, 19, 57, 73, 95, 219, 285, 365, 1095, 1387, 4161, 6935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20799 and 20805. The biggest common factor number is the GCF number.
So the greatest common factor 20799 and 20805 is 3.

Also check out the Least Common Multiple of 20799 and 20805