What is the Greatest Common Factor of 321 and 332?

Greatest common factor (GCF) of 321 and 332 is 1.

GCF(321,332) = 1

We will now calculate the prime factors of 321 and 332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 321 and 332.

How to find the GCF of 321 and 332?

We will first find the prime factorization of 321 and 332. After we will calculate the factors of 321 and 332 and find the biggest common factor number .

Step-1: Prime Factorization of 321

Prime factors of 321 are 3, 107. Prime factorization of 321 in exponential form is:

321 = 3¹ × 107¹

Step-2: Prime Factorization of 332

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

332 = 2² × 83¹

Step-3: Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1, 3, 107

Step-4: Factors of 332

List of positive integer factors of 332 that divides 321 without a remainder.

1, 2, 4, 83, 166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 321 and 332. The biggest common factor number is the GCF number.
So the greatest common factor 321 and 332 is 1.

Also check out the Least Common Multiple of 321 and 332