What is the Greatest Common Factor of 277 and 294?

Greatest common factor (GCF) of 277 and 294 is 1.

GCF(277,294) = 1

We will now calculate the prime factors of 277 and 294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 277 and 294.

How to find the GCF of 277 and 294?

We will first find the prime factorization of 277 and 294. After we will calculate the factors of 277 and 294 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 294

Prime factors of 294 are 2, 3, 7. Prime factorization of 294 in exponential form is:

294 = 2¹ × 3¹ × 7²

Step-3: Factors of 277

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

Step-4: Factors of 294

List of positive integer factors of 294 that divides 277 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 277 and 294. The biggest common factor number is the GCF number.
So the greatest common factor 277 and 294 is 1.

Also check out the Least Common Multiple of 277 and 294