What is the Greatest Common Factor of 30326 and 30342?

Greatest common factor (GCF) of 30326 and 30342 is 2.

GCF(30326,30342) = 2

We will now calculate the prime factors of 30326 and 30342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30326 and 30342.

How to find the GCF of 30326 and 30342?

We will first find the prime factorization of 30326 and 30342. After we will calculate the factors of 30326 and 30342 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 30342

Prime factors of 30342 are 2, 3, 13, 389. Prime factorization of 30342 in exponential form is:

30342 = 2¹ × 3¹ × 13¹ × 389¹

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 30342

List of positive integer factors of 30342 that divides 30326 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 389, 778, 1167, 2334, 5057, 10114, 15171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30326 and 30342. The biggest common factor number is the GCF number.
So the greatest common factor 30326 and 30342 is 2.

Also check out the Least Common Multiple of 30326 and 30342