What is the Greatest Common Factor of 277 and 289?

Greatest common factor (GCF) of 277 and 289 is 1.

GCF(277,289) = 1

We will now calculate the prime factors of 277 and 289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 277 and 289.

How to find the GCF of 277 and 289?

We will first find the prime factorization of 277 and 289. After we will calculate the factors of 277 and 289 and find the biggest common factor number .

Step-1: Prime Factorization of 277

Prime factors of 277 are 277. Prime factorization of 277 in exponential form is:

277 = 277¹

Step-2: Prime Factorization of 289

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

289 = 17²

Step-3: Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

Step-4: Factors of 289

List of positive integer factors of 289 that divides 277 without a remainder.

1, 17

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 277 and 289. The biggest common factor number is the GCF number.
So the greatest common factor 277 and 289 is 1.

Also check out the Least Common Multiple of 277 and 289