What is the Greatest Common Factor of 289 and 293?

Greatest common factor (GCF) of 289 and 293 is 1.

GCF(289,293) = 1

We will now calculate the prime factors of 289 and 293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 289 and 293.

How to find the GCF of 289 and 293?

We will first find the prime factorization of 289 and 293. After we will calculate the factors of 289 and 293 and find the biggest common factor number .

Step-1: Prime Factorization of 289

Prime factors of 289 are 17. Prime factorization of 289 in exponential form is:

289 = 17²

Step-2: Prime Factorization of 293

Prime factors of 293 are 293. Prime factorization of 293 in exponential form is:

293 = 293¹

Step-3: Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1, 17

Step-4: Factors of 293

List of positive integer factors of 293 that divides 289 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 289 and 293. The biggest common factor number is the GCF number.
So the greatest common factor 289 and 293 is 1.

Also check out the Least Common Multiple of 289 and 293