What is the Greatest Common Factor of 20785 and 20799?

Greatest common factor (GCF) of 20785 and 20799 is 1.

GCF(20785,20799) = 1

We will now calculate the prime factors of 20785 and 20799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20785 and 20799.

How to find the GCF of 20785 and 20799?

We will first find the prime factorization of 20785 and 20799. After we will calculate the factors of 20785 and 20799 and find the biggest common factor number .

Step-1: Prime Factorization of 20785

Prime factors of 20785 are 5, 4157. Prime factorization of 20785 in exponential form is:

20785 = 5¹ × 4157¹

Step-2: Prime Factorization of 20799

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

20799 = 3² × 2311¹

Step-3: Factors of 20785

List of positive integer factors of 20785 that divides 20785 without a remainder.

1, 5, 4157

Step-4: Factors of 20799

List of positive integer factors of 20799 that divides 20785 without a remainder.

1, 3, 9, 2311, 6933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20785 and 20799. The biggest common factor number is the GCF number.
So the greatest common factor 20785 and 20799 is 1.

Also check out the Least Common Multiple of 20785 and 20799