What is the Greatest Common Factor of 20705 and 20718?

Greatest common factor (GCF) of 20705 and 20718 is 1.

GCF(20705,20718) = 1

We will now calculate the prime factors of 20705 and 20718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20705 and 20718.

How to find the GCF of 20705 and 20718?

We will first find the prime factorization of 20705 and 20718. After we will calculate the factors of 20705 and 20718 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 20718

Prime factors of 20718 are 2, 3, 1151. Prime factorization of 20718 in exponential form is:

20718 = 2¹ × 3² × 1151¹

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 20718

List of positive integer factors of 20718 that divides 20705 without a remainder.

1, 2, 3, 6, 9, 18, 1151, 2302, 3453, 6906, 10359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20705 and 20718. The biggest common factor number is the GCF number.
So the greatest common factor 20705 and 20718 is 1.

Also check out the Least Common Multiple of 20705 and 20718