What is the Greatest Common Factor of 20705 and 20717?

Greatest common factor (GCF) of 20705 and 20717 is 1.

GCF(20705,20717) = 1

We will now calculate the prime factors of 20705 and 20717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20705 and 20717.

How to find the GCF of 20705 and 20717?

We will first find the prime factorization of 20705 and 20717. After we will calculate the factors of 20705 and 20717 and find the biggest common factor number .

Step-1: Prime Factorization of 20705

Prime factors of 20705 are 5, 41, 101. Prime factorization of 20705 in exponential form is:

20705 = 5¹ × 41¹ × 101¹

Step-2: Prime Factorization of 20717

Prime factors of 20717 are 20717. Prime factorization of 20717 in exponential form is:

20717 = 20717¹

Step-3: Factors of 20705

List of positive integer factors of 20705 that divides 20705 without a remainder.

1, 5, 41, 101, 205, 505, 4141

Step-4: Factors of 20717

List of positive integer factors of 20717 that divides 20705 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20705 and 20717. The biggest common factor number is the GCF number.
So the greatest common factor 20705 and 20717 is 1.

Also check out the Least Common Multiple of 20705 and 20717