What is the Greatest Common Factor of 20185 and 20196?

Greatest common factor (GCF) of 20185 and 20196 is 11.

GCF(20185,20196) = 11

We will now calculate the prime factors of 20185 and 20196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20185 and 20196.

How to find the GCF of 20185 and 20196?

We will first find the prime factorization of 20185 and 20196. After we will calculate the factors of 20185 and 20196 and find the biggest common factor number .

Step-1: Prime Factorization of 20185

Prime factors of 20185 are 5, 11, 367. Prime factorization of 20185 in exponential form is:

20185 = 5¹ × 11¹ × 367¹

Step-2: 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-3: Factors of 20185

List of positive integer factors of 20185 that divides 20185 without a remainder.

1, 5, 11, 55, 367, 1835, 4037

Step-4: Factors of 20196

List of positive integer factors of 20196 that divides 20185 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20185 and 20196. The biggest common factor number is the GCF number.
So the greatest common factor 20185 and 20196 is 11.

Also check out the Least Common Multiple of 20185 and 20196