What is the Greatest Common Factor of 320 and 337?

Greatest common factor (GCF) of 320 and 337 is 1.

GCF(320,337) = 1

We will now calculate the prime factors of 320 and 337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 320 and 337.

How to find the GCF of 320 and 337?

We will first find the prime factorization of 320 and 337. After we will calculate the factors of 320 and 337 and find the biggest common factor number .

Step-1: Prime Factorization of 320

Prime factors of 320 are 2, 5. Prime factorization of 320 in exponential form is:

320 = 2⁶ × 5¹

Step-2: Prime Factorization of 337

Prime factors of 337 are 337. Prime factorization of 337 in exponential form is:

337 = 337¹

Step-3: Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160

Step-4: Factors of 337

List of positive integer factors of 337 that divides 320 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 320 and 337. The biggest common factor number is the GCF number.
So the greatest common factor 320 and 337 is 1.

Also check out the Least Common Multiple of 320 and 337