What is the Greatest Common Factor of 18312 and 18324?

Greatest common factor (GCF) of 18312 and 18324 is 12.

GCF(18312,18324) = 12

We will now calculate the prime factors of 18312 and 18324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18312 and 18324.

How to find the GCF of 18312 and 18324?

We will first find the prime factorization of 18312 and 18324. After we will calculate the factors of 18312 and 18324 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18324

Prime factors of 18324 are 2, 3, 509. Prime factorization of 18324 in exponential form is:

18324 = 2² × 3² × 509¹

Step-3: Factors of 18312

List of positive integer factors of 18312 that divides 18312 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

Step-4: Factors of 18324

List of positive integer factors of 18324 that divides 18312 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 509, 1018, 1527, 2036, 3054, 4581, 6108, 9162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18312 and 18324. The biggest common factor number is the GCF number.
So the greatest common factor 18312 and 18324 is 12.

Also check out the Least Common Multiple of 18312 and 18324