What is the Greatest Common Factor of 18298 and 18312?

Greatest common factor (GCF) of 18298 and 18312 is 14.

GCF(18298,18312) = 14

We will now calculate the prime factors of 18298 and 18312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18298 and 18312.

How to find the GCF of 18298 and 18312?

We will first find the prime factorization of 18298 and 18312. After we will calculate the factors of 18298 and 18312 and find the biggest common factor number .

Step-1: Prime Factorization of 18298

Prime factors of 18298 are 2, 7, 1307. Prime factorization of 18298 in exponential form is:

18298 = 2¹ × 7¹ × 1307¹

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 18298

List of positive integer factors of 18298 that divides 18298 without a remainder.

1, 2, 7, 14, 1307, 2614, 9149

Step-4: Factors of 18312

List of positive integer factors of 18312 that divides 18298 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 18298 and 18312. The biggest common factor number is the GCF number.
So the greatest common factor 18298 and 18312 is 14.

Also check out the Least Common Multiple of 18298 and 18312