What is the Greatest Common Factor of 18382 and 18396?

Greatest common factor (GCF) of 18382 and 18396 is 14.

GCF(18382,18396) = 14

We will now calculate the prime factors of 18382 and 18396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18382 and 18396.

How to find the GCF of 18382 and 18396?

We will first find the prime factorization of 18382 and 18396. After we will calculate the factors of 18382 and 18396 and find the biggest common factor number .

Step-1: Prime Factorization of 18382

Prime factors of 18382 are 2, 7, 13, 101. Prime factorization of 18382 in exponential form is:

18382 = 2¹ × 7¹ × 13¹ × 101¹

Step-2: Prime Factorization of 18396

Prime factors of 18396 are 2, 3, 7, 73. Prime factorization of 18396 in exponential form is:

18396 = 2² × 3² × 7¹ × 73¹

Step-3: Factors of 18382

List of positive integer factors of 18382 that divides 18382 without a remainder.

1, 2, 7, 13, 14, 26, 91, 101, 182, 202, 707, 1313, 1414, 2626, 9191

Step-4: Factors of 18396

List of positive integer factors of 18396 that divides 18382 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 73, 84, 126, 146, 219, 252, 292, 438, 511, 657, 876, 1022, 1314, 1533, 2044, 2628, 3066, 4599, 6132, 9198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18382 and 18396. The biggest common factor number is the GCF number.
So the greatest common factor 18382 and 18396 is 14.

Also check out the Least Common Multiple of 18382 and 18396