What is the Greatest Common Factor of 374 and 385?

Greatest common factor (GCF) of 374 and 385 is 11.

GCF(374,385) = 11

We will now calculate the prime factors of 374 and 385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 374 and 385.

How to find the GCF of 374 and 385?

We will first find the prime factorization of 374 and 385. After we will calculate the factors of 374 and 385 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 385

Prime factors of 385 are 5, 7, 11. Prime factorization of 385 in exponential form is:

385 = 5¹ × 7¹ × 11¹

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 385

List of positive integer factors of 385 that divides 374 without a remainder.

1, 5, 7, 11, 35, 55, 77

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 374 and 385. The biggest common factor number is the GCF number.
So the greatest common factor 374 and 385 is 11.

Also check out the Least Common Multiple of 374 and 385