What is the Greatest Common Factor of 332 and 337?

Greatest common factor (GCF) of 332 and 337 is 1.

GCF(332,337) = 1

We will now calculate the prime factors of 332 and 337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 332 and 337.

How to find the GCF of 332 and 337?

We will first find the prime factorization of 332 and 337. After we will calculate the factors of 332 and 337 and find the biggest common factor number .

Step-1: Prime Factorization of 332

Prime factors of 332 are 2, 83. Prime factorization of 332 in exponential form is:

332 = 2² × 83¹

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 332

List of positive integer factors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166

Step-4: Factors of 337

List of positive integer factors of 337 that divides 332 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 332 and 337. The biggest common factor number is the GCF number.
So the greatest common factor 332 and 337 is 1.

Also check out the Least Common Multiple of 332 and 337