What is the Greatest Common Factor of 20196 and 20214?

Greatest common factor (GCF) of 20196 and 20214 is 18.

GCF(20196,20214) = 18

We will now calculate the prime factors of 20196 and 20214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20196 and 20214.

How to find the GCF of 20196 and 20214?

We will first find the prime factorization of 20196 and 20214. After we will calculate the factors of 20196 and 20214 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 20214

Prime factors of 20214 are 2, 3, 1123. Prime factorization of 20214 in exponential form is:

20214 = 2¹ × 3² × 1123¹

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 20214

List of positive integer factors of 20214 that divides 20196 without a remainder.

1, 2, 3, 6, 9, 18, 1123, 2246, 3369, 6738, 10107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20196 and 20214. The biggest common factor number is the GCF number.
So the greatest common factor 20196 and 20214 is 18.

Also check out the Least Common Multiple of 20196 and 20214