What is the Greatest Common Factor of 20785 and 20804?

Greatest common factor (GCF) of 20785 and 20804 is 1.

GCF(20785,20804) = 1

We will now calculate the prime factors of 20785 and 20804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20785 and 20804.

How to find the GCF of 20785 and 20804?

We will first find the prime factorization of 20785 and 20804. After we will calculate the factors of 20785 and 20804 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 20804

Prime factors of 20804 are 2, 7, 743. Prime factorization of 20804 in exponential form is:

20804 = 2² × 7¹ × 743¹

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 20804

List of positive integer factors of 20804 that divides 20785 without a remainder.

1, 2, 4, 7, 14, 28, 743, 1486, 2972, 5201, 10402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20785 and 20804. The biggest common factor number is the GCF number.
So the greatest common factor 20785 and 20804 is 1.

Also check out the Least Common Multiple of 20785 and 20804