What is the Greatest Common Factor of 30075 and 30082?

Greatest common factor (GCF) of 30075 and 30082 is 1.

GCF(30075,30082) = 1

We will now calculate the prime factors of 30075 and 30082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30075 and 30082.

How to find the GCF of 30075 and 30082?

We will first find the prime factorization of 30075 and 30082. After we will calculate the factors of 30075 and 30082 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 30082

Prime factors of 30082 are 2, 13, 89. Prime factorization of 30082 in exponential form is:

30082 = 2¹ × 13² × 89¹

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 30082

List of positive integer factors of 30082 that divides 30075 without a remainder.

1, 2, 13, 26, 89, 169, 178, 338, 1157, 2314, 15041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30075 and 30082. The biggest common factor number is the GCF number.
So the greatest common factor 30075 and 30082 is 1.

Also check out the Least Common Multiple of 30075 and 30082