What is the Greatest Common Factor of 30359 and 30366?

Greatest common factor (GCF) of 30359 and 30366 is 7.

GCF(30359,30366) = 7

We will now calculate the prime factors of 30359 and 30366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30359 and 30366.

How to find the GCF of 30359 and 30366?

We will first find the prime factorization of 30359 and 30366. After we will calculate the factors of 30359 and 30366 and find the biggest common factor number .

Step-1: Prime Factorization of 30359

Prime factors of 30359 are 7, 4337. Prime factorization of 30359 in exponential form is:

30359 = 7¹ × 4337¹

Step-2: 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-3: Factors of 30359

List of positive integer factors of 30359 that divides 30359 without a remainder.

1, 7, 4337

Step-4: Factors of 30366

List of positive integer factors of 30366 that divides 30359 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30359 and 30366. The biggest common factor number is the GCF number.
So the greatest common factor 30359 and 30366 is 7.

Also check out the Least Common Multiple of 30359 and 30366