What is the Greatest Common Factor of 99099 and 99109?

Greatest common factor (GCF) of 99099 and 99109 is 1.

GCF(99099,99109) = 1

We will now calculate the prime factors of 99099 and 99109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99099 and 99109.

How to find the GCF of 99099 and 99109?

We will first find the prime factorization of 99099 and 99109. After we will calculate the factors of 99099 and 99109 and find the biggest common factor number .

Step-1: Prime Factorization of 99099

Prime factors of 99099 are 3, 7, 11, 13. Prime factorization of 99099 in exponential form is:

99099 = 3² × 7¹ × 11² × 13¹

Step-2: Prime Factorization of 99109

Prime factors of 99109 are 99109. Prime factorization of 99109 in exponential form is:

99109 = 99109¹

Step-3: Factors of 99099

List of positive integer factors of 99099 that divides 99099 without a remainder.

1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 121, 143, 231, 273, 363, 429, 693, 819, 847, 1001, 1089, 1287, 1573, 2541, 3003, 4719, 7623, 9009, 11011, 14157, 33033

Step-4: Factors of 99109

List of positive integer factors of 99109 that divides 99099 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99099 and 99109. The biggest common factor number is the GCF number.
So the greatest common factor 99099 and 99109 is 1.

Also check out the Least Common Multiple of 99099 and 99109