What is the Greatest Common Factor of 67323 and 67338?

Greatest common factor (GCF) of 67323 and 67338 is 3.

GCF(67323,67338) = 3

We will now calculate the prime factors of 67323 and 67338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67323 and 67338.

How to find the GCF of 67323 and 67338?

We will first find the prime factorization of 67323 and 67338. After we will calculate the factors of 67323 and 67338 and find the biggest common factor number .

Step-1: Prime Factorization of 67323

Prime factors of 67323 are 3, 22441. Prime factorization of 67323 in exponential form is:

67323 = 3¹ × 22441¹

Step-2: Prime Factorization of 67338

Prime factors of 67338 are 2, 3, 29, 43. Prime factorization of 67338 in exponential form is:

67338 = 2¹ × 3³ × 29¹ × 43¹

Step-3: Factors of 67323

List of positive integer factors of 67323 that divides 67323 without a remainder.

1, 3, 22441

Step-4: Factors of 67338

List of positive integer factors of 67338 that divides 67323 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 43, 54, 58, 86, 87, 129, 174, 258, 261, 387, 522, 774, 783, 1161, 1247, 1566, 2322, 2494, 3741, 7482, 11223, 22446, 33669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67323 and 67338. The biggest common factor number is the GCF number.
So the greatest common factor 67323 and 67338 is 3.

Also check out the Least Common Multiple of 67323 and 67338