What is the Greatest Common Factor of 30368 and 30382?

Greatest common factor (GCF) of 30368 and 30382 is 2.

GCF(30368,30382) = 2

We will now calculate the prime factors of 30368 and 30382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30368 and 30382.

How to find the GCF of 30368 and 30382?

We will first find the prime factorization of 30368 and 30382. After we will calculate the factors of 30368 and 30382 and find the biggest common factor number .

Step-1: Prime Factorization of 30368

Prime factors of 30368 are 2, 13, 73. Prime factorization of 30368 in exponential form is:

30368 = 2⁵ × 13¹ × 73¹

Step-2: Prime Factorization of 30382

Prime factors of 30382 are 2, 11, 1381. Prime factorization of 30382 in exponential form is:

30382 = 2¹ × 11¹ × 1381¹

Step-3: Factors of 30368

List of positive integer factors of 30368 that divides 30368 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 73, 104, 146, 208, 292, 416, 584, 949, 1168, 1898, 2336, 3796, 7592, 15184

Step-4: Factors of 30382

List of positive integer factors of 30382 that divides 30368 without a remainder.

1, 2, 11, 22, 1381, 2762, 15191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30368 and 30382. The biggest common factor number is the GCF number.
So the greatest common factor 30368 and 30382 is 2.

Also check out the Least Common Multiple of 30368 and 30382