What is the Greatest Common Factor of 30069 and 30082?

Greatest common factor (GCF) of 30069 and 30082 is 13.

GCF(30069,30082) = 13

We will now calculate the prime factors of 30069 and 30082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30069 and 30082.

How to find the GCF of 30069 and 30082?

We will first find the prime factorization of 30069 and 30082. After we will calculate the factors of 30069 and 30082 and find the biggest common factor number .

Step-1: Prime Factorization of 30069

Prime factors of 30069 are 3, 13, 257. Prime factorization of 30069 in exponential form is:

30069 = 3² × 13¹ × 257¹

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 30069

List of positive integer factors of 30069 that divides 30069 without a remainder.

1, 3, 9, 13, 39, 117, 257, 771, 2313, 3341, 10023

Step-4: Factors of 30082

List of positive integer factors of 30082 that divides 30069 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 30069 and 30082. The biggest common factor number is the GCF number.
So the greatest common factor 30069 and 30082 is 13.

Also check out the Least Common Multiple of 30069 and 30082