What is the Greatest Common Factor of 30272 and 30285?

Greatest common factor (GCF) of 30272 and 30285 is 1.

GCF(30272,30285) = 1

We will now calculate the prime factors of 30272 and 30285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30272 and 30285.

How to find the GCF of 30272 and 30285?

We will first find the prime factorization of 30272 and 30285. After we will calculate the factors of 30272 and 30285 and find the biggest common factor number .

Step-1: Prime Factorization of 30272

Prime factors of 30272 are 2, 11, 43. Prime factorization of 30272 in exponential form is:

30272 = 2⁶ × 11¹ × 43¹

Step-2: Prime Factorization of 30285

Prime factors of 30285 are 3, 5, 673. Prime factorization of 30285 in exponential form is:

30285 = 3² × 5¹ × 673¹

Step-3: Factors of 30272

List of positive integer factors of 30272 that divides 30272 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 43, 44, 64, 86, 88, 172, 176, 344, 352, 473, 688, 704, 946, 1376, 1892, 2752, 3784, 7568, 15136

Step-4: Factors of 30285

List of positive integer factors of 30285 that divides 30272 without a remainder.

1, 3, 5, 9, 15, 45, 673, 2019, 3365, 6057, 10095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30272 and 30285. The biggest common factor number is the GCF number.
So the greatest common factor 30272 and 30285 is 1.

Also check out the Least Common Multiple of 30272 and 30285