What is the Greatest Common Factor of 20334 and 20339?

Greatest common factor (GCF) of 20334 and 20339 is 1.

GCF(20334,20339) = 1

We will now calculate the prime factors of 20334 and 20339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20334 and 20339.

How to find the GCF of 20334 and 20339?

We will first find the prime factorization of 20334 and 20339. After we will calculate the factors of 20334 and 20339 and find the biggest common factor number .

Step-1: Prime Factorization of 20334

Prime factors of 20334 are 2, 3, 3389. Prime factorization of 20334 in exponential form is:

20334 = 2¹ × 3¹ × 3389¹

Step-2: Prime Factorization of 20339

Prime factors of 20339 are 11, 43. Prime factorization of 20339 in exponential form is:

20339 = 11¹ × 43²

Step-3: Factors of 20334

List of positive integer factors of 20334 that divides 20334 without a remainder.

1, 2, 3, 6, 3389, 6778, 10167

Step-4: Factors of 20339

List of positive integer factors of 20339 that divides 20334 without a remainder.

1, 11, 43, 473, 1849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20334 and 20339. The biggest common factor number is the GCF number.
So the greatest common factor 20334 and 20339 is 1.

Also check out the Least Common Multiple of 20334 and 20339