What is the Greatest Common Factor of 20165 and 20171?

Greatest common factor (GCF) of 20165 and 20171 is 1.

GCF(20165,20171) = 1

We will now calculate the prime factors of 20165 and 20171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20165 and 20171.

How to find the GCF of 20165 and 20171?

We will first find the prime factorization of 20165 and 20171. After we will calculate the factors of 20165 and 20171 and find the biggest common factor number .

Step-1: Prime Factorization of 20165

Prime factors of 20165 are 5, 37, 109. Prime factorization of 20165 in exponential form is:

20165 = 5¹ × 37¹ × 109¹

Step-2: Prime Factorization of 20171

Prime factors of 20171 are 23, 877. Prime factorization of 20171 in exponential form is:

20171 = 23¹ × 877¹

Step-3: Factors of 20165

List of positive integer factors of 20165 that divides 20165 without a remainder.

1, 5, 37, 109, 185, 545, 4033

Step-4: Factors of 20171

List of positive integer factors of 20171 that divides 20165 without a remainder.

1, 23, 877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20165 and 20171. The biggest common factor number is the GCF number.
So the greatest common factor 20165 and 20171 is 1.

Also check out the Least Common Multiple of 20165 and 20171