What is the Greatest Common Factor of 40293 and 40299?

Greatest common factor (GCF) of 40293 and 40299 is 3.

GCF(40293,40299) = 3

We will now calculate the prime factors of 40293 and 40299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40293 and 40299.

How to find the GCF of 40293 and 40299?

We will first find the prime factorization of 40293 and 40299. After we will calculate the factors of 40293 and 40299 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 40299

Prime factors of 40299 are 3, 7, 19, 101. Prime factorization of 40299 in exponential form is:

40299 = 3¹ × 7¹ × 19¹ × 101¹

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 40299

List of positive integer factors of 40299 that divides 40293 without a remainder.

1, 3, 7, 19, 21, 57, 101, 133, 303, 399, 707, 1919, 2121, 5757, 13433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40293 and 40299. The biggest common factor number is the GCF number.
So the greatest common factor 40293 and 40299 is 3.

Also check out the Least Common Multiple of 40293 and 40299