What is the Greatest Common Factor of 20659 and 20665?

Greatest common factor (GCF) of 20659 and 20665 is 1.

GCF(20659,20665) = 1

We will now calculate the prime factors of 20659 and 20665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20659 and 20665.

How to find the GCF of 20659 and 20665?

We will first find the prime factorization of 20659 and 20665. After we will calculate the factors of 20659 and 20665 and find the biggest common factor number .

Step-1: Prime Factorization of 20659

Prime factors of 20659 are 73, 283. Prime factorization of 20659 in exponential form is:

20659 = 73¹ × 283¹

Step-2: Prime Factorization of 20665

Prime factors of 20665 are 5, 4133. Prime factorization of 20665 in exponential form is:

20665 = 5¹ × 4133¹

Step-3: Factors of 20659

List of positive integer factors of 20659 that divides 20659 without a remainder.

1, 73, 283

Step-4: Factors of 20665

List of positive integer factors of 20665 that divides 20659 without a remainder.

1, 5, 4133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20659 and 20665. The biggest common factor number is the GCF number.
So the greatest common factor 20659 and 20665 is 1.

Also check out the Least Common Multiple of 20659 and 20665