What is the Greatest Common Factor of 20288 and 20298?

Greatest common factor (GCF) of 20288 and 20298 is 2.

GCF(20288,20298) = 2

We will now calculate the prime factors of 20288 and 20298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20288 and 20298.

How to find the GCF of 20288 and 20298?

We will first find the prime factorization of 20288 and 20298. After we will calculate the factors of 20288 and 20298 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 20298

Prime factors of 20298 are 2, 3, 17, 199. Prime factorization of 20298 in exponential form is:

20298 = 2¹ × 3¹ × 17¹ × 199¹

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 20298

List of positive integer factors of 20298 that divides 20288 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 199, 398, 597, 1194, 3383, 6766, 10149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20288 and 20298. The biggest common factor number is the GCF number.
So the greatest common factor 20288 and 20298 is 2.

Also check out the Least Common Multiple of 20288 and 20298