What is the Greatest Common Factor of 38325 and 38340?

Greatest common factor (GCF) of 38325 and 38340 is 15.

GCF(38325,38340) = 15

We will now calculate the prime factors of 38325 and 38340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38325 and 38340.

How to find the GCF of 38325 and 38340?

We will first find the prime factorization of 38325 and 38340. After we will calculate the factors of 38325 and 38340 and find the biggest common factor number .

Step-1: Prime Factorization of 38325

Prime factors of 38325 are 3, 5, 7, 73. Prime factorization of 38325 in exponential form is:

38325 = 3¹ × 5² × 7¹ × 73¹

Step-2: Prime Factorization of 38340

Prime factors of 38340 are 2, 3, 5, 71. Prime factorization of 38340 in exponential form is:

38340 = 2² × 3³ × 5¹ × 71¹

Step-3: Factors of 38325

List of positive integer factors of 38325 that divides 38325 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 73, 75, 105, 175, 219, 365, 511, 525, 1095, 1533, 1825, 2555, 5475, 7665, 12775

Step-4: Factors of 38340

List of positive integer factors of 38340 that divides 38325 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 71, 90, 108, 135, 142, 180, 213, 270, 284, 355, 426, 540, 639, 710, 852, 1065, 1278, 1420, 1917, 2130, 2556, 3195, 3834, 4260, 6390, 7668, 9585, 12780, 19170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38325 and 38340. The biggest common factor number is the GCF number.
So the greatest common factor 38325 and 38340 is 15.

Also check out the Least Common Multiple of 38325 and 38340