What is the Greatest Common Factor of 32296 and 32303?

Greatest common factor (GCF) of 32296 and 32303 is 1.

GCF(32296,32303) = 1

We will now calculate the prime factors of 32296 and 32303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32296 and 32303.

How to find the GCF of 32296 and 32303?

We will first find the prime factorization of 32296 and 32303. After we will calculate the factors of 32296 and 32303 and find the biggest common factor number .

Step-1: Prime Factorization of 32296

Prime factors of 32296 are 2, 11, 367. Prime factorization of 32296 in exponential form is:

32296 = 2³ × 11¹ × 367¹

Step-2: Prime Factorization of 32303

Prime factors of 32303 are 32303. Prime factorization of 32303 in exponential form is:

32303 = 32303¹

Step-3: Factors of 32296

List of positive integer factors of 32296 that divides 32296 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 367, 734, 1468, 2936, 4037, 8074, 16148

Step-4: Factors of 32303

List of positive integer factors of 32303 that divides 32296 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32296 and 32303. The biggest common factor number is the GCF number.
So the greatest common factor 32296 and 32303 is 1.

Also check out the Least Common Multiple of 32296 and 32303