What is the Greatest Common Factor of 30384 and 30402?

Greatest common factor (GCF) of 30384 and 30402 is 18.

GCF(30384,30402) = 18

We will now calculate the prime factors of 30384 and 30402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30384 and 30402.

How to find the GCF of 30384 and 30402?

We will first find the prime factorization of 30384 and 30402. After we will calculate the factors of 30384 and 30402 and find the biggest common factor number .

Step-1: Prime Factorization of 30384

Prime factors of 30384 are 2, 3, 211. Prime factorization of 30384 in exponential form is:

30384 = 2⁴ × 3² × 211¹

Step-2: Prime Factorization of 30402

Prime factors of 30402 are 2, 3, 563. Prime factorization of 30402 in exponential form is:

30402 = 2¹ × 3³ × 563¹

Step-3: Factors of 30384

List of positive integer factors of 30384 that divides 30384 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 211, 422, 633, 844, 1266, 1688, 1899, 2532, 3376, 3798, 5064, 7596, 10128, 15192

Step-4: Factors of 30402

List of positive integer factors of 30402 that divides 30384 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 563, 1126, 1689, 3378, 5067, 10134, 15201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30384 and 30402. The biggest common factor number is the GCF number.
So the greatest common factor 30384 and 30402 is 18.

Also check out the Least Common Multiple of 30384 and 30402