What is the Greatest Common Factor of 20785 and 20794?

Greatest common factor (GCF) of 20785 and 20794 is 1.

GCF(20785,20794) = 1

We will now calculate the prime factors of 20785 and 20794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20785 and 20794.

How to find the GCF of 20785 and 20794?

We will first find the prime factorization of 20785 and 20794. After we will calculate the factors of 20785 and 20794 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 20794

Prime factors of 20794 are 2, 37, 281. Prime factorization of 20794 in exponential form is:

20794 = 2¹ × 37¹ × 281¹

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 20794

List of positive integer factors of 20794 that divides 20785 without a remainder.

1, 2, 37, 74, 281, 562, 10397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20785 and 20794. The biggest common factor number is the GCF number.
So the greatest common factor 20785 and 20794 is 1.

Also check out the Least Common Multiple of 20785 and 20794