What is the Greatest Common Factor of 33099 and 33118?

Greatest common factor (GCF) of 33099 and 33118 is 1.

GCF(33099,33118) = 1

We will now calculate the prime factors of 33099 and 33118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33099 and 33118.

How to find the GCF of 33099 and 33118?

We will first find the prime factorization of 33099 and 33118. After we will calculate the factors of 33099 and 33118 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 33118

Prime factors of 33118 are 2, 29, 571. Prime factorization of 33118 in exponential form is:

33118 = 2¹ × 29¹ × 571¹

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 33118

List of positive integer factors of 33118 that divides 33099 without a remainder.

1, 2, 29, 58, 571, 1142, 16559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33099 and 33118. The biggest common factor number is the GCF number.
So the greatest common factor 33099 and 33118 is 1.

Also check out the Least Common Multiple of 33099 and 33118