What is the Greatest Common Factor of 30311 and 30328?

Greatest common factor (GCF) of 30311 and 30328 is 17.

GCF(30311,30328) = 17

We will now calculate the prime factors of 30311 and 30328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30311 and 30328.

How to find the GCF of 30311 and 30328?

We will first find the prime factorization of 30311 and 30328. After we will calculate the factors of 30311 and 30328 and find the biggest common factor number .

Step-1: Prime Factorization of 30311

Prime factors of 30311 are 17, 1783. Prime factorization of 30311 in exponential form is:

30311 = 17¹ × 1783¹

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 30311

List of positive integer factors of 30311 that divides 30311 without a remainder.

1, 17, 1783

Step-4: Factors of 30328

List of positive integer factors of 30328 that divides 30311 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 30311 and 30328. The biggest common factor number is the GCF number.
So the greatest common factor 30311 and 30328 is 17.

Also check out the Least Common Multiple of 30311 and 30328