What is the Greatest Common Factor of 2321 and 2332?

Greatest common factor (GCF) of 2321 and 2332 is 11.

GCF(2321,2332) = 11

We will now calculate the prime factors of 2321 and 2332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2321 and 2332.

How to find the GCF of 2321 and 2332?

We will first find the prime factorization of 2321 and 2332. After we will calculate the factors of 2321 and 2332 and find the biggest common factor number .

Step-1: Prime Factorization of 2321

Prime factors of 2321 are 11, 211. Prime factorization of 2321 in exponential form is:

2321 = 11¹ × 211¹

Step-2: Prime Factorization of 2332

Prime factors of 2332 are 2, 11, 53. Prime factorization of 2332 in exponential form is:

2332 = 2² × 11¹ × 53¹

Step-3: Factors of 2321

List of positive integer factors of 2321 that divides 2321 without a remainder.

1, 11, 211

Step-4: Factors of 2332

List of positive integer factors of 2332 that divides 2321 without a remainder.

1, 2, 4, 11, 22, 44, 53, 106, 212, 583, 1166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2321 and 2332. The biggest common factor number is the GCF number.
So the greatest common factor 2321 and 2332 is 11.

Also check out the Least Common Multiple of 2321 and 2332