What is the Greatest Common Factor of 18375 and 18382?

Greatest common factor (GCF) of 18375 and 18382 is 7.

GCF(18375,18382) = 7

We will now calculate the prime factors of 18375 and 18382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18375 and 18382.

How to find the GCF of 18375 and 18382?

We will first find the prime factorization of 18375 and 18382. After we will calculate the factors of 18375 and 18382 and find the biggest common factor number .

Step-1: Prime Factorization of 18375

Prime factors of 18375 are 3, 5, 7. Prime factorization of 18375 in exponential form is:

18375 = 3¹ × 5³ × 7²

Step-2: 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-3: Factors of 18375

List of positive integer factors of 18375 that divides 18375 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 125, 147, 175, 245, 375, 525, 735, 875, 1225, 2625, 3675, 6125

Step-4: Factors of 18382

List of positive integer factors of 18382 that divides 18375 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18375 and 18382. The biggest common factor number is the GCF number.
So the greatest common factor 18375 and 18382 is 7.

Also check out the Least Common Multiple of 18375 and 18382