What is the Greatest Common Factor of 30342 and 30358?

Greatest common factor (GCF) of 30342 and 30358 is 2.

GCF(30342,30358) = 2

We will now calculate the prime factors of 30342 and 30358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30342 and 30358.

How to find the GCF of 30342 and 30358?

We will first find the prime factorization of 30342 and 30358. After we will calculate the factors of 30342 and 30358 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30358

Prime factors of 30358 are 2, 43, 353. Prime factorization of 30358 in exponential form is:

30358 = 2¹ × 43¹ × 353¹

Step-3: Factors of 30342

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

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

Step-4: Factors of 30358

List of positive integer factors of 30358 that divides 30342 without a remainder.

1, 2, 43, 86, 353, 706, 15179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30342 and 30358. The biggest common factor number is the GCF number.
So the greatest common factor 30342 and 30358 is 2.

Also check out the Least Common Multiple of 30342 and 30358