What is the Greatest Common Factor of 30309 and 30328?

Greatest common factor (GCF) of 30309 and 30328 is 1.

GCF(30309,30328) = 1

We will now calculate the prime factors of 30309 and 30328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30309 and 30328.

How to find the GCF of 30309 and 30328?

We will first find the prime factorization of 30309 and 30328. After we will calculate the factors of 30309 and 30328 and find the biggest common factor number .

Step-1: Prime Factorization of 30309

Prime factors of 30309 are 3, 10103. Prime factorization of 30309 in exponential form is:

30309 = 3¹ × 10103¹

Step-2: Prime Factorization of 30328

Prime factors of 30328 are 2, 17, 223. Prime factorization of 30328 in exponential form is:

30328 = 2³ × 17¹ × 223¹

Step-3: Factors of 30309

List of positive integer factors of 30309 that divides 30309 without a remainder.

1, 3, 10103

Step-4: Factors of 30328

List of positive integer factors of 30328 that divides 30309 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 223, 446, 892, 1784, 3791, 7582, 15164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30309 and 30328. The biggest common factor number is the GCF number.
So the greatest common factor 30309 and 30328 is 1.

Also check out the Least Common Multiple of 30309 and 30328