What is the Greatest Common Factor of 33099 and 33116?

Greatest common factor (GCF) of 33099 and 33116 is 17.

GCF(33099,33116) = 17

We will now calculate the prime factors of 33099 and 33116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33099 and 33116.

How to find the GCF of 33099 and 33116?

We will first find the prime factorization of 33099 and 33116. After we will calculate the factors of 33099 and 33116 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 33116

Prime factors of 33116 are 2, 17, 487. Prime factorization of 33116 in exponential form is:

33116 = 2² × 17¹ × 487¹

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 33116

List of positive integer factors of 33116 that divides 33099 without a remainder.

1, 2, 4, 17, 34, 68, 487, 974, 1948, 8279, 16558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33099 and 33116. The biggest common factor number is the GCF number.
So the greatest common factor 33099 and 33116 is 17.

Also check out the Least Common Multiple of 33099 and 33116