What is the Greatest Common Factor of 20298 and 20305?

Greatest common factor (GCF) of 20298 and 20305 is 1.

GCF(20298,20305) = 1

We will now calculate the prime factors of 20298 and 20305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20298 and 20305.

How to find the GCF of 20298 and 20305?

We will first find the prime factorization of 20298 and 20305. After we will calculate the factors of 20298 and 20305 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20305

Prime factors of 20305 are 5, 31, 131. Prime factorization of 20305 in exponential form is:

20305 = 5¹ × 31¹ × 131¹

Step-3: Factors of 20298

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

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

Step-4: Factors of 20305

List of positive integer factors of 20305 that divides 20298 without a remainder.

1, 5, 31, 131, 155, 655, 4061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20298 and 20305. The biggest common factor number is the GCF number.
So the greatest common factor 20298 and 20305 is 1.

Also check out the Least Common Multiple of 20298 and 20305