What is the Greatest Common Factor of 341 and 352?

Greatest common factor (GCF) of 341 and 352 is 11.

GCF(341,352) = 11

We will now calculate the prime factors of 341 and 352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 341 and 352.

How to find the GCF of 341 and 352?

We will first find the prime factorization of 341 and 352. After we will calculate the factors of 341 and 352 and find the biggest common factor number .

Step-1: Prime Factorization of 341

Prime factors of 341 are 11, 31. Prime factorization of 341 in exponential form is:

341 = 11¹ × 31¹

Step-2: Prime Factorization of 352

Prime factors of 352 are 2, 11. Prime factorization of 352 in exponential form is:

352 = 2⁵ × 11¹

Step-3: Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1, 11, 31

Step-4: Factors of 352

List of positive integer factors of 352 that divides 341 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 341 and 352. The biggest common factor number is the GCF number.
So the greatest common factor 341 and 352 is 11.

Also check out the Least Common Multiple of 341 and 352