What is the Greatest Common Factor of 274 and 278?

Greatest common factor (GCF) of 274 and 278 is 2.

GCF(274,278) = 2

We will now calculate the prime factors of 274 and 278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 274 and 278.

How to find the GCF of 274 and 278?

We will first find the prime factorization of 274 and 278. After we will calculate the factors of 274 and 278 and find the biggest common factor number .

Step-1: Prime Factorization of 274

Prime factors of 274 are 2, 137. Prime factorization of 274 in exponential form is:

274 = 2¹ × 137¹

Step-2: Prime Factorization of 278

Prime factors of 278 are 2, 139. Prime factorization of 278 in exponential form is:

278 = 2¹ × 139¹

Step-3: Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1, 2, 137

Step-4: Factors of 278

List of positive integer factors of 278 that divides 274 without a remainder.

1, 2, 139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 274 and 278. The biggest common factor number is the GCF number.
So the greatest common factor 274 and 278 is 2.

Also check out the Least Common Multiple of 274 and 278