What is the Greatest Common Factor of 20196 and 20205?

Greatest common factor (GCF) of 20196 and 20205 is 9.

GCF(20196,20205) = 9

We will now calculate the prime factors of 20196 and 20205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20196 and 20205.

How to find the GCF of 20196 and 20205?

We will first find the prime factorization of 20196 and 20205. After we will calculate the factors of 20196 and 20205 and find the biggest common factor number .

Step-1: Prime Factorization of 20196

Prime factors of 20196 are 2, 3, 11, 17. Prime factorization of 20196 in exponential form is:

20196 = 2² × 3³ × 11¹ × 17¹

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 20196

List of positive integer factors of 20196 that divides 20196 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 27, 33, 34, 36, 44, 51, 54, 66, 68, 99, 102, 108, 132, 153, 187, 198, 204, 297, 306, 374, 396, 459, 561, 594, 612, 748, 918, 1122, 1188, 1683, 1836, 2244, 3366, 5049, 6732, 10098

Step-4: Factors of 20205

List of positive integer factors of 20205 that divides 20196 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 20196 and 20205. The biggest common factor number is the GCF number.
So the greatest common factor 20196 and 20205 is 9.

Also check out the Least Common Multiple of 20196 and 20205