What is the Greatest Common Factor of 23325 and 23330?

Greatest common factor (GCF) of 23325 and 23330 is 5.

GCF(23325,23330) = 5

We will now calculate the prime factors of 23325 and 23330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23325 and 23330.

How to find the GCF of 23325 and 23330?

We will first find the prime factorization of 23325 and 23330. After we will calculate the factors of 23325 and 23330 and find the biggest common factor number .

Step-1: Prime Factorization of 23325

Prime factors of 23325 are 3, 5, 311. Prime factorization of 23325 in exponential form is:

23325 = 3¹ × 5² × 311¹

Step-2: Prime Factorization of 23330

Prime factors of 23330 are 2, 5, 2333. Prime factorization of 23330 in exponential form is:

23330 = 2¹ × 5¹ × 2333¹

Step-3: Factors of 23325

List of positive integer factors of 23325 that divides 23325 without a remainder.

1, 3, 5, 15, 25, 75, 311, 933, 1555, 4665, 7775

Step-4: Factors of 23330

List of positive integer factors of 23330 that divides 23325 without a remainder.

1, 2, 5, 10, 2333, 4666, 11665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23325 and 23330. The biggest common factor number is the GCF number.
So the greatest common factor 23325 and 23330 is 5.

Also check out the Least Common Multiple of 23325 and 23330