What is the Greatest Common Factor of 257 and 277?

Greatest common factor (GCF) of 257 and 277 is 1.

GCF(257,277) = 1

We will now calculate the prime factors of 257 and 277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 257 and 277.

How to find the GCF of 257 and 277?

We will first find the prime factorization of 257 and 277. After we will calculate the factors of 257 and 277 and find the biggest common factor number .

Step-1: Prime Factorization of 257

Prime factors of 257 are 257. Prime factorization of 257 in exponential form is:

257 = 257¹

Step-2: Prime Factorization of 277

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

277 = 277¹

Step-3: Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

Step-4: Factors of 277

List of positive integer factors of 277 that divides 257 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 257 and 277. The biggest common factor number is the GCF number.
So the greatest common factor 257 and 277 is 1.

Also check out the Least Common Multiple of 257 and 277