What is the Greatest Common Factor of 30288 and 30299?

Greatest common factor (GCF) of 30288 and 30299 is 1.

GCF(30288,30299) = 1

We will now calculate the prime factors of 30288 and 30299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30288 and 30299.

How to find the GCF of 30288 and 30299?

We will first find the prime factorization of 30288 and 30299. After we will calculate the factors of 30288 and 30299 and find the biggest common factor number .

Step-1: Prime Factorization of 30288

Prime factors of 30288 are 2, 3, 631. Prime factorization of 30288 in exponential form is:

30288 = 2⁴ × 3¹ × 631¹

Step-2: Prime Factorization of 30299

Prime factors of 30299 are 41, 739. Prime factorization of 30299 in exponential form is:

30299 = 41¹ × 739¹

Step-3: Factors of 30288

List of positive integer factors of 30288 that divides 30288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 631, 1262, 1893, 2524, 3786, 5048, 7572, 10096, 15144

Step-4: Factors of 30299

List of positive integer factors of 30299 that divides 30288 without a remainder.

1, 41, 739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30288 and 30299. The biggest common factor number is the GCF number.
So the greatest common factor 30288 and 30299 is 1.

Also check out the Least Common Multiple of 30288 and 30299