What is the Greatest Common Factor of 30366 and 30371?

Greatest common factor (GCF) of 30366 and 30371 is 1.

GCF(30366,30371) = 1

We will now calculate the prime factors of 30366 and 30371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30366 and 30371.

How to find the GCF of 30366 and 30371?

We will first find the prime factorization of 30366 and 30371. After we will calculate the factors of 30366 and 30371 and find the biggest common factor number .

Step-1: Prime Factorization of 30366

Prime factors of 30366 are 2, 3, 7, 241. Prime factorization of 30366 in exponential form is:

30366 = 2¹ × 3² × 7¹ × 241¹

Step-2: Prime Factorization of 30371

Prime factors of 30371 are 11, 251. Prime factorization of 30371 in exponential form is:

30371 = 11² × 251¹

Step-3: Factors of 30366

List of positive integer factors of 30366 that divides 30366 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 241, 482, 723, 1446, 1687, 2169, 3374, 4338, 5061, 10122, 15183

Step-4: Factors of 30371

List of positive integer factors of 30371 that divides 30366 without a remainder.

1, 11, 121, 251, 2761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30366 and 30371. The biggest common factor number is the GCF number.
So the greatest common factor 30366 and 30371 is 1.

Also check out the Least Common Multiple of 30366 and 30371