What is the Greatest Common Factor of 20343 and 20361?

Greatest common factor (GCF) of 20343 and 20361 is 3.

GCF(20343,20361) = 3

We will now calculate the prime factors of 20343 and 20361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20343 and 20361.

How to find the GCF of 20343 and 20361?

We will first find the prime factorization of 20343 and 20361. After we will calculate the factors of 20343 and 20361 and find the biggest common factor number .

Step-1: Prime Factorization of 20343

Prime factors of 20343 are 3, 6781. Prime factorization of 20343 in exponential form is:

20343 = 3¹ × 6781¹

Step-2: Prime Factorization of 20361

Prime factors of 20361 are 3, 11, 617. Prime factorization of 20361 in exponential form is:

20361 = 3¹ × 11¹ × 617¹

Step-3: Factors of 20343

List of positive integer factors of 20343 that divides 20343 without a remainder.

1, 3, 6781

Step-4: Factors of 20361

List of positive integer factors of 20361 that divides 20343 without a remainder.

1, 3, 11, 33, 617, 1851, 6787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20343 and 20361. The biggest common factor number is the GCF number.
So the greatest common factor 20343 and 20361 is 3.

Also check out the Least Common Multiple of 20343 and 20361