What is the Greatest Common Factor of 2319 and 2332?

Greatest common factor (GCF) of 2319 and 2332 is 1.

GCF(2319,2332) = 1

We will now calculate the prime factors of 2319 and 2332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2319 and 2332.

How to find the GCF of 2319 and 2332?

We will first find the prime factorization of 2319 and 2332. After we will calculate the factors of 2319 and 2332 and find the biggest common factor number .

Step-1: Prime Factorization of 2319

Prime factors of 2319 are 3, 773. Prime factorization of 2319 in exponential form is:

2319 = 3¹ × 773¹

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 2319

List of positive integer factors of 2319 that divides 2319 without a remainder.

1, 3, 773

Step-4: Factors of 2332

List of positive integer factors of 2332 that divides 2319 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 2319 and 2332. The biggest common factor number is the GCF number.
So the greatest common factor 2319 and 2332 is 1.

Also check out the Least Common Multiple of 2319 and 2332