What is the Greatest Common Factor of 18292 and 18309?

Greatest common factor (GCF) of 18292 and 18309 is 17.

GCF(18292,18309) = 17

We will now calculate the prime factors of 18292 and 18309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18292 and 18309.

How to find the GCF of 18292 and 18309?

We will first find the prime factorization of 18292 and 18309. After we will calculate the factors of 18292 and 18309 and find the biggest common factor number .

Step-1: Prime Factorization of 18292

Prime factors of 18292 are 2, 17, 269. Prime factorization of 18292 in exponential form is:

18292 = 2² × 17¹ × 269¹

Step-2: Prime Factorization of 18309

Prime factors of 18309 are 3, 17, 359. Prime factorization of 18309 in exponential form is:

18309 = 3¹ × 17¹ × 359¹

Step-3: Factors of 18292

List of positive integer factors of 18292 that divides 18292 without a remainder.

1, 2, 4, 17, 34, 68, 269, 538, 1076, 4573, 9146

Step-4: Factors of 18309

List of positive integer factors of 18309 that divides 18292 without a remainder.

1, 3, 17, 51, 359, 1077, 6103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18292 and 18309. The biggest common factor number is the GCF number.
So the greatest common factor 18292 and 18309 is 17.

Also check out the Least Common Multiple of 18292 and 18309