What is the Greatest Common Factor of 20156 and 20171?

Greatest common factor (GCF) of 20156 and 20171 is 1.

GCF(20156,20171) = 1

We will now calculate the prime factors of 20156 and 20171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20156 and 20171.

How to find the GCF of 20156 and 20171?

We will first find the prime factorization of 20156 and 20171. After we will calculate the factors of 20156 and 20171 and find the biggest common factor number .

Step-1: Prime Factorization of 20156

Prime factors of 20156 are 2, 5039. Prime factorization of 20156 in exponential form is:

20156 = 2² × 5039¹

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 20156

List of positive integer factors of 20156 that divides 20156 without a remainder.

1, 2, 4, 5039, 10078

Step-4: Factors of 20171

List of positive integer factors of 20171 that divides 20156 without a remainder.

1, 23, 877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20156 and 20171. The biggest common factor number is the GCF number.
So the greatest common factor 20156 and 20171 is 1.

Also check out the Least Common Multiple of 20156 and 20171