What is the Greatest Common Factor of 9099 and 9114?

Greatest common factor (GCF) of 9099 and 9114 is 3.

GCF(9099,9114) = 3

We will now calculate the prime factors of 9099 and 9114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9099 and 9114.

How to find the GCF of 9099 and 9114?

We will first find the prime factorization of 9099 and 9114. After we will calculate the factors of 9099 and 9114 and find the biggest common factor number .

Step-1: Prime Factorization of 9099

Prime factors of 9099 are 3, 337. Prime factorization of 9099 in exponential form is:

9099 = 3³ × 337¹

Step-2: Prime Factorization of 9114

Prime factors of 9114 are 2, 3, 7, 31. Prime factorization of 9114 in exponential form is:

9114 = 2¹ × 3¹ × 7² × 31¹

Step-3: Factors of 9099

List of positive integer factors of 9099 that divides 9099 without a remainder.

1, 3, 9, 27, 337, 1011, 3033

Step-4: Factors of 9114

List of positive integer factors of 9114 that divides 9099 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 49, 62, 93, 98, 147, 186, 217, 294, 434, 651, 1302, 1519, 3038, 4557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9099 and 9114. The biggest common factor number is the GCF number.
So the greatest common factor 9099 and 9114 is 3.

Also check out the Least Common Multiple of 9099 and 9114