What is the Greatest Common Factor of 30315 and 30325?

Greatest common factor (GCF) of 30315 and 30325 is 5.

GCF(30315,30325) = 5

We will now calculate the prime factors of 30315 and 30325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30315 and 30325.

How to find the GCF of 30315 and 30325?

We will first find the prime factorization of 30315 and 30325. After we will calculate the factors of 30315 and 30325 and find the biggest common factor number .

Step-1: Prime Factorization of 30315

Prime factors of 30315 are 3, 5, 43, 47. Prime factorization of 30315 in exponential form is:

30315 = 3¹ × 5¹ × 43¹ × 47¹

Step-2: Prime Factorization of 30325

Prime factors of 30325 are 5, 1213. Prime factorization of 30325 in exponential form is:

30325 = 5² × 1213¹

Step-3: Factors of 30315

List of positive integer factors of 30315 that divides 30315 without a remainder.

1, 3, 5, 15, 43, 47, 129, 141, 215, 235, 645, 705, 2021, 6063, 10105

Step-4: Factors of 30325

List of positive integer factors of 30325 that divides 30315 without a remainder.

1, 5, 25, 1213, 6065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30315 and 30325. The biggest common factor number is the GCF number.
So the greatest common factor 30315 and 30325 is 5.

Also check out the Least Common Multiple of 30315 and 30325