What is the Greatest Common Factor of 30326 and 30343?

Greatest common factor (GCF) of 30326 and 30343 is 1.

GCF(30326,30343) = 1

We will now calculate the prime factors of 30326 and 30343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30326 and 30343.

How to find the GCF of 30326 and 30343?

We will first find the prime factorization of 30326 and 30343. After we will calculate the factors of 30326 and 30343 and find the biggest common factor number .

Step-1: Prime Factorization of 30326

Prime factors of 30326 are 2, 59, 257. Prime factorization of 30326 in exponential form is:

30326 = 2¹ × 59¹ × 257¹

Step-2: Prime Factorization of 30343

Prime factors of 30343 are 19, 1597. Prime factorization of 30343 in exponential form is:

30343 = 19¹ × 1597¹

Step-3: Factors of 30326

List of positive integer factors of 30326 that divides 30326 without a remainder.

1, 2, 59, 118, 257, 514, 15163

Step-4: Factors of 30343

List of positive integer factors of 30343 that divides 30326 without a remainder.

1, 19, 1597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30326 and 30343. The biggest common factor number is the GCF number.
So the greatest common factor 30326 and 30343 is 1.

Also check out the Least Common Multiple of 30326 and 30343