What is the Greatest Common Factor of 66198 and 66208?

Greatest common factor (GCF) of 66198 and 66208 is 2.

GCF(66198,66208) = 2

We will now calculate the prime factors of 66198 and 66208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66198 and 66208.

How to find the GCF of 66198 and 66208?

We will first find the prime factorization of 66198 and 66208. After we will calculate the factors of 66198 and 66208 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 66208

Prime factors of 66208 are 2, 2069. Prime factorization of 66208 in exponential form is:

66208 = 2⁵ × 2069¹

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 66208

List of positive integer factors of 66208 that divides 66198 without a remainder.

1, 2, 4, 8, 16, 32, 2069, 4138, 8276, 16552, 33104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66198 and 66208. The biggest common factor number is the GCF number.
So the greatest common factor 66198 and 66208 is 2.

Also check out the Least Common Multiple of 66198 and 66208