What is the Greatest Common Factor of 20338 and 20345?

Greatest common factor (GCF) of 20338 and 20345 is 1.

GCF(20338,20345) = 1

We will now calculate the prime factors of 20338 and 20345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20338 and 20345.

How to find the GCF of 20338 and 20345?

We will first find the prime factorization of 20338 and 20345. After we will calculate the factors of 20338 and 20345 and find the biggest common factor number .

Step-1: Prime Factorization of 20338

Prime factors of 20338 are 2, 10169. Prime factorization of 20338 in exponential form is:

20338 = 2¹ × 10169¹

Step-2: Prime Factorization of 20345

Prime factors of 20345 are 5, 13, 313. Prime factorization of 20345 in exponential form is:

20345 = 5¹ × 13¹ × 313¹

Step-3: Factors of 20338

List of positive integer factors of 20338 that divides 20338 without a remainder.

1, 2, 10169

Step-4: Factors of 20345

List of positive integer factors of 20345 that divides 20338 without a remainder.

1, 5, 13, 65, 313, 1565, 4069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20338 and 20345. The biggest common factor number is the GCF number.
So the greatest common factor 20338 and 20345 is 1.

Also check out the Least Common Multiple of 20338 and 20345