What is the Greatest Common Factor of 20150 and 20161?

Greatest common factor (GCF) of 20150 and 20161 is 1.

GCF(20150,20161) = 1

We will now calculate the prime factors of 20150 and 20161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20150 and 20161.

How to find the GCF of 20150 and 20161?

We will first find the prime factorization of 20150 and 20161. After we will calculate the factors of 20150 and 20161 and find the biggest common factor number .

Step-1: Prime Factorization of 20150

Prime factors of 20150 are 2, 5, 13, 31. Prime factorization of 20150 in exponential form is:

20150 = 2¹ × 5² × 13¹ × 31¹

Step-2: Prime Factorization of 20161

Prime factors of 20161 are 20161. Prime factorization of 20161 in exponential form is:

20161 = 20161¹

Step-3: Factors of 20150

List of positive integer factors of 20150 that divides 20150 without a remainder.

1, 2, 5, 10, 13, 25, 26, 31, 50, 62, 65, 130, 155, 310, 325, 403, 650, 775, 806, 1550, 2015, 4030, 10075

Step-4: Factors of 20161

List of positive integer factors of 20161 that divides 20150 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20150 and 20161. The biggest common factor number is the GCF number.
So the greatest common factor 20150 and 20161 is 1.

Also check out the Least Common Multiple of 20150 and 20161