What is the Greatest Common Factor of 20517 and 20529?

Greatest common factor (GCF) of 20517 and 20529 is 3.

GCF(20517,20529) = 3

We will now calculate the prime factors of 20517 and 20529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20517 and 20529.

How to find the GCF of 20517 and 20529?

We will first find the prime factorization of 20517 and 20529. After we will calculate the factors of 20517 and 20529 and find the biggest common factor number .

Step-1: Prime Factorization of 20517

Prime factors of 20517 are 3, 7, 977. Prime factorization of 20517 in exponential form is:

20517 = 3¹ × 7¹ × 977¹

Step-2: Prime Factorization of 20529

Prime factors of 20529 are 3, 2281. Prime factorization of 20529 in exponential form is:

20529 = 3² × 2281¹

Step-3: Factors of 20517

List of positive integer factors of 20517 that divides 20517 without a remainder.

1, 3, 7, 21, 977, 2931, 6839

Step-4: Factors of 20529

List of positive integer factors of 20529 that divides 20517 without a remainder.

1, 3, 9, 2281, 6843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20517 and 20529. The biggest common factor number is the GCF number.
So the greatest common factor 20517 and 20529 is 3.

Also check out the Least Common Multiple of 20517 and 20529