What is the Greatest Common Factor of 30378 and 30383?

Greatest common factor (GCF) of 30378 and 30383 is 1.

GCF(30378,30383) = 1

We will now calculate the prime factors of 30378 and 30383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30378 and 30383.

How to find the GCF of 30378 and 30383?

We will first find the prime factorization of 30378 and 30383. After we will calculate the factors of 30378 and 30383 and find the biggest common factor number .

Step-1: Prime Factorization of 30378

Prime factors of 30378 are 2, 3, 61, 83. Prime factorization of 30378 in exponential form is:

30378 = 2¹ × 3¹ × 61¹ × 83¹

Step-2: Prime Factorization of 30383

Prime factors of 30383 are 23, 1321. Prime factorization of 30383 in exponential form is:

30383 = 23¹ × 1321¹

Step-3: Factors of 30378

List of positive integer factors of 30378 that divides 30378 without a remainder.

1, 2, 3, 6, 61, 83, 122, 166, 183, 249, 366, 498, 5063, 10126, 15189

Step-4: Factors of 30383

List of positive integer factors of 30383 that divides 30378 without a remainder.

1, 23, 1321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30378 and 30383. The biggest common factor number is the GCF number.
So the greatest common factor 30378 and 30383 is 1.

Also check out the Least Common Multiple of 30378 and 30383