What is the Greatest Common Factor of 30075 and 30095?

Greatest common factor (GCF) of 30075 and 30095 is 5.

GCF(30075,30095) = 5

We will now calculate the prime factors of 30075 and 30095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30075 and 30095.

How to find the GCF of 30075 and 30095?

We will first find the prime factorization of 30075 and 30095. After we will calculate the factors of 30075 and 30095 and find the biggest common factor number .

Step-1: Prime Factorization of 30075

Prime factors of 30075 are 3, 5, 401. Prime factorization of 30075 in exponential form is:

30075 = 3¹ × 5² × 401¹

Step-2: Prime Factorization of 30095

Prime factors of 30095 are 5, 13, 463. Prime factorization of 30095 in exponential form is:

30095 = 5¹ × 13¹ × 463¹

Step-3: Factors of 30075

List of positive integer factors of 30075 that divides 30075 without a remainder.

1, 3, 5, 15, 25, 75, 401, 1203, 2005, 6015, 10025

Step-4: Factors of 30095

List of positive integer factors of 30095 that divides 30075 without a remainder.

1, 5, 13, 65, 463, 2315, 6019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30075 and 30095. The biggest common factor number is the GCF number.
So the greatest common factor 30075 and 30095 is 5.

Also check out the Least Common Multiple of 30075 and 30095