What is the Greatest Common Factor of 40323 and 40338?

Greatest common factor (GCF) of 40323 and 40338 is 3.

GCF(40323,40338) = 3

We will now calculate the prime factors of 40323 and 40338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40323 and 40338.

How to find the GCF of 40323 and 40338?

We will first find the prime factorization of 40323 and 40338. After we will calculate the factors of 40323 and 40338 and find the biggest common factor number .

Step-1: Prime Factorization of 40323

Prime factors of 40323 are 3, 13441. Prime factorization of 40323 in exponential form is:

40323 = 3¹ × 13441¹

Step-2: Prime Factorization of 40338

Prime factors of 40338 are 2, 3, 83. Prime factorization of 40338 in exponential form is:

40338 = 2¹ × 3⁵ × 83¹

Step-3: Factors of 40323

List of positive integer factors of 40323 that divides 40323 without a remainder.

1, 3, 13441

Step-4: Factors of 40338

List of positive integer factors of 40338 that divides 40323 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 83, 162, 166, 243, 249, 486, 498, 747, 1494, 2241, 4482, 6723, 13446, 20169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40323 and 40338. The biggest common factor number is the GCF number.
So the greatest common factor 40323 and 40338 is 3.

Also check out the Least Common Multiple of 40323 and 40338