What is the Greatest Common Factor of 33099 and 33110?

Greatest common factor (GCF) of 33099 and 33110 is 11.

GCF(33099,33110) = 11

We will now calculate the prime factors of 33099 and 33110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33099 and 33110.

How to find the GCF of 33099 and 33110?

We will first find the prime factorization of 33099 and 33110. After we will calculate the factors of 33099 and 33110 and find the biggest common factor number .

Step-1: Prime Factorization of 33099

Prime factors of 33099 are 3, 11, 17, 59. Prime factorization of 33099 in exponential form is:

33099 = 3¹ × 11¹ × 17¹ × 59¹

Step-2: Prime Factorization of 33110

Prime factors of 33110 are 2, 5, 7, 11, 43. Prime factorization of 33110 in exponential form is:

33110 = 2¹ × 5¹ × 7¹ × 11¹ × 43¹

Step-3: Factors of 33099

List of positive integer factors of 33099 that divides 33099 without a remainder.

1, 3, 11, 17, 33, 51, 59, 177, 187, 561, 649, 1003, 1947, 3009, 11033

Step-4: Factors of 33110

List of positive integer factors of 33110 that divides 33099 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 43, 55, 70, 77, 86, 110, 154, 215, 301, 385, 430, 473, 602, 770, 946, 1505, 2365, 3010, 3311, 4730, 6622, 16555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33099 and 33110. The biggest common factor number is the GCF number.
So the greatest common factor 33099 and 33110 is 11.

Also check out the Least Common Multiple of 33099 and 33110