What is the Greatest Common Factor of 38325 and 38331?

Greatest common factor (GCF) of 38325 and 38331 is 3.

GCF(38325,38331) = 3

We will now calculate the prime factors of 38325 and 38331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38325 and 38331.

How to find the GCF of 38325 and 38331?

We will first find the prime factorization of 38325 and 38331. After we will calculate the factors of 38325 and 38331 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 38331

Prime factors of 38331 are 3, 4259. Prime factorization of 38331 in exponential form is:

38331 = 3² × 4259¹

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 38331

List of positive integer factors of 38331 that divides 38325 without a remainder.

1, 3, 9, 4259, 12777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38325 and 38331. The biggest common factor number is the GCF number.
So the greatest common factor 38325 and 38331 is 3.

Also check out the Least Common Multiple of 38325 and 38331