What is the Greatest Common Factor of 278 and 296?

Greatest common factor (GCF) of 278 and 296 is 2.

GCF(278,296) = 2

We will now calculate the prime factors of 278 and 296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 278 and 296.

How to find the GCF of 278 and 296?

We will first find the prime factorization of 278 and 296. After we will calculate the factors of 278 and 296 and find the biggest common factor number .

Step-1: Prime Factorization of 278

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

278 = 2¹ × 139¹

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 278

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

1, 2, 139

Step-4: Factors of 296

List of positive integer factors of 296 that divides 278 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 278 and 296. The biggest common factor number is the GCF number.
So the greatest common factor 278 and 296 is 2.

Also check out the Least Common Multiple of 278 and 296