What is the Greatest Common Factor of 20170 and 20180?

Greatest common factor (GCF) of 20170 and 20180 is 10.

GCF(20170,20180) = 10

We will now calculate the prime factors of 20170 and 20180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20170 and 20180.

How to find the GCF of 20170 and 20180?

We will first find the prime factorization of 20170 and 20180. After we will calculate the factors of 20170 and 20180 and find the biggest common factor number .

Step-1: Prime Factorization of 20170

Prime factors of 20170 are 2, 5, 2017. Prime factorization of 20170 in exponential form is:

20170 = 2¹ × 5¹ × 2017¹

Step-2: Prime Factorization of 20180

Prime factors of 20180 are 2, 5, 1009. Prime factorization of 20180 in exponential form is:

20180 = 2² × 5¹ × 1009¹

Step-3: Factors of 20170

List of positive integer factors of 20170 that divides 20170 without a remainder.

1, 2, 5, 10, 2017, 4034, 10085

Step-4: Factors of 20180

List of positive integer factors of 20180 that divides 20170 without a remainder.

1, 2, 4, 5, 10, 20, 1009, 2018, 4036, 5045, 10090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20170 and 20180. The biggest common factor number is the GCF number.
So the greatest common factor 20170 and 20180 is 10.

Also check out the Least Common Multiple of 20170 and 20180