What is the Greatest Common Factor of 20187 and 20205?

Greatest common factor (GCF) of 20187 and 20205 is 9.

GCF(20187,20205) = 9

We will now calculate the prime factors of 20187 and 20205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20187 and 20205.

How to find the GCF of 20187 and 20205?

We will first find the prime factorization of 20187 and 20205. After we will calculate the factors of 20187 and 20205 and find the biggest common factor number .

Step-1: Prime Factorization of 20187

Prime factors of 20187 are 3, 2243. Prime factorization of 20187 in exponential form is:

20187 = 3² × 2243¹

Step-2: Prime Factorization of 20205

Prime factors of 20205 are 3, 5, 449. Prime factorization of 20205 in exponential form is:

20205 = 3² × 5¹ × 449¹

Step-3: Factors of 20187

List of positive integer factors of 20187 that divides 20187 without a remainder.

1, 3, 9, 2243, 6729

Step-4: Factors of 20205

List of positive integer factors of 20205 that divides 20187 without a remainder.

1, 3, 5, 9, 15, 45, 449, 1347, 2245, 4041, 6735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20187 and 20205. The biggest common factor number is the GCF number.
So the greatest common factor 20187 and 20205 is 9.

Also check out the Least Common Multiple of 20187 and 20205