What is the Greatest Common Factor of 40293 and 40303?

Greatest common factor (GCF) of 40293 and 40303 is 1.

GCF(40293,40303) = 1

We will now calculate the prime factors of 40293 and 40303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40293 and 40303.

How to find the GCF of 40293 and 40303?

We will first find the prime factorization of 40293 and 40303. After we will calculate the factors of 40293 and 40303 and find the biggest common factor number .

Step-1: Prime Factorization of 40293

Prime factors of 40293 are 3, 11, 37. Prime factorization of 40293 in exponential form is:

40293 = 3² × 11² × 37¹

Step-2: Prime Factorization of 40303

Prime factors of 40303 are 41, 983. Prime factorization of 40303 in exponential form is:

40303 = 41¹ × 983¹

Step-3: Factors of 40293

List of positive integer factors of 40293 that divides 40293 without a remainder.

1, 3, 9, 11, 33, 37, 99, 111, 121, 333, 363, 407, 1089, 1221, 3663, 4477, 13431

Step-4: Factors of 40303

List of positive integer factors of 40303 that divides 40293 without a remainder.

1, 41, 983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40293 and 40303. The biggest common factor number is the GCF number.
So the greatest common factor 40293 and 40303 is 1.

Also check out the Least Common Multiple of 40293 and 40303