What is the Greatest Common Factor of 20288 and 20299?

Greatest common factor (GCF) of 20288 and 20299 is 1.

GCF(20288,20299) = 1

We will now calculate the prime factors of 20288 and 20299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20288 and 20299.

How to find the GCF of 20288 and 20299?

We will first find the prime factorization of 20288 and 20299. After we will calculate the factors of 20288 and 20299 and find the biggest common factor number .

Step-1: Prime Factorization of 20288

Prime factors of 20288 are 2, 317. Prime factorization of 20288 in exponential form is:

20288 = 2⁶ × 317¹

Step-2: Prime Factorization of 20299

Prime factors of 20299 are 53, 383. Prime factorization of 20299 in exponential form is:

20299 = 53¹ × 383¹

Step-3: Factors of 20288

List of positive integer factors of 20288 that divides 20288 without a remainder.

1, 2, 4, 8, 16, 32, 64, 317, 634, 1268, 2536, 5072, 10144

Step-4: Factors of 20299

List of positive integer factors of 20299 that divides 20288 without a remainder.

1, 53, 383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20288 and 20299. The biggest common factor number is the GCF number.
So the greatest common factor 20288 and 20299 is 1.

Also check out the Least Common Multiple of 20288 and 20299