What is the Greatest Common Factor of 18303 and 18312?

Greatest common factor (GCF) of 18303 and 18312 is 3.

GCF(18303,18312) = 3

We will now calculate the prime factors of 18303 and 18312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18303 and 18312.

How to find the GCF of 18303 and 18312?

We will first find the prime factorization of 18303 and 18312. After we will calculate the factors of 18303 and 18312 and find the biggest common factor number .

Step-1: Prime Factorization of 18303

Prime factors of 18303 are 3, 6101. Prime factorization of 18303 in exponential form is:

18303 = 3¹ × 6101¹

Step-2: Prime Factorization of 18312

Prime factors of 18312 are 2, 3, 7, 109. Prime factorization of 18312 in exponential form is:

18312 = 2³ × 3¹ × 7¹ × 109¹

Step-3: Factors of 18303

List of positive integer factors of 18303 that divides 18303 without a remainder.

1, 3, 6101

Step-4: Factors of 18312

List of positive integer factors of 18312 that divides 18303 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 109, 168, 218, 327, 436, 654, 763, 872, 1308, 1526, 2289, 2616, 3052, 4578, 6104, 9156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18303 and 18312. The biggest common factor number is the GCF number.
So the greatest common factor 18303 and 18312 is 3.

Also check out the Least Common Multiple of 18303 and 18312