What is the Greatest Common Factor of 30082 and 30095?

Greatest common factor (GCF) of 30082 and 30095 is 13.

GCF(30082,30095) = 13

We will now calculate the prime factors of 30082 and 30095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30082 and 30095.

How to find the GCF of 30082 and 30095?

We will first find the prime factorization of 30082 and 30095. After we will calculate the factors of 30082 and 30095 and find the biggest common factor number .

Step-1: 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-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 30082

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

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

Step-4: Factors of 30095

List of positive integer factors of 30095 that divides 30082 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30082 and 30095. The biggest common factor number is the GCF number.
So the greatest common factor 30082 and 30095 is 13.

Also check out the Least Common Multiple of 30082 and 30095