What is the Greatest Common Factor of 374 and 391?

Greatest common factor (GCF) of 374 and 391 is 17.

GCF(374,391) = 17

We will now calculate the prime factors of 374 and 391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 374 and 391.

How to find the GCF of 374 and 391?

We will first find the prime factorization of 374 and 391. After we will calculate the factors of 374 and 391 and find the biggest common factor number .

Step-1: Prime Factorization of 374

Prime factors of 374 are 2, 11, 17. Prime factorization of 374 in exponential form is:

374 = 2¹ × 11¹ × 17¹

Step-2: Prime Factorization of 391

Prime factors of 391 are 17, 23. Prime factorization of 391 in exponential form is:

391 = 17¹ × 23¹

Step-3: Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187

Step-4: Factors of 391

List of positive integer factors of 391 that divides 374 without a remainder.

1, 17, 23

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 374 and 391. The biggest common factor number is the GCF number.
So the greatest common factor 374 and 391 is 17.

Also check out the Least Common Multiple of 374 and 391