What is the Greatest Common Factor of 66198 and 66209?

Greatest common factor (GCF) of 66198 and 66209 is 11.

GCF(66198,66209) = 11

We will now calculate the prime factors of 66198 and 66209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66198 and 66209.

How to find the GCF of 66198 and 66209?

We will first find the prime factorization of 66198 and 66209. After we will calculate the factors of 66198 and 66209 and find the biggest common factor number .

Step-1: Prime Factorization of 66198

Prime factors of 66198 are 2, 3, 11, 17, 59. Prime factorization of 66198 in exponential form is:

66198 = 2¹ × 3¹ × 11¹ × 17¹ × 59¹

Step-2: Prime Factorization of 66209

Prime factors of 66209 are 11, 13, 463. Prime factorization of 66209 in exponential form is:

66209 = 11¹ × 13¹ × 463¹

Step-3: Factors of 66198

List of positive integer factors of 66198 that divides 66198 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 59, 66, 102, 118, 177, 187, 354, 374, 561, 649, 1003, 1122, 1298, 1947, 2006, 3009, 3894, 6018, 11033, 22066, 33099

Step-4: Factors of 66209

List of positive integer factors of 66209 that divides 66198 without a remainder.

1, 11, 13, 143, 463, 5093, 6019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66198 and 66209. The biggest common factor number is the GCF number.
So the greatest common factor 66198 and 66209 is 11.

Also check out the Least Common Multiple of 66198 and 66209