What is the Greatest Common Factor of 277 and 296?

Greatest common factor (GCF) of 277 and 296 is 1.

GCF(277,296) = 1

We will now calculate the prime factors of 277 and 296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 277 and 296.

How to find the GCF of 277 and 296?

We will first find the prime factorization of 277 and 296. After we will calculate the factors of 277 and 296 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 296

Prime factors of 296 are 2, 37. Prime factorization of 296 in exponential form is:

296 = 2³ × 37¹

Step-3: Factors of 277

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

Step-4: Factors of 296

List of positive integer factors of 296 that divides 277 without a remainder.

1, 2, 4, 8, 37, 74, 148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 277 and 296. The biggest common factor number is the GCF number.
So the greatest common factor 277 and 296 is 1.

Also check out the Least Common Multiple of 277 and 296