What is the Greatest Common Factor of 55323 and 55338?

Greatest common factor (GCF) of 55323 and 55338 is 3.

GCF(55323,55338) = 3

We will now calculate the prime factors of 55323 and 55338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55323 and 55338.

How to find the GCF of 55323 and 55338?

We will first find the prime factorization of 55323 and 55338. After we will calculate the factors of 55323 and 55338 and find the biggest common factor number .

Step-1: Prime Factorization of 55323

Prime factors of 55323 are 3, 683. Prime factorization of 55323 in exponential form is:

55323 = 3⁴ × 683¹

Step-2: Prime Factorization of 55338

Prime factors of 55338 are 2, 3, 23, 401. Prime factorization of 55338 in exponential form is:

55338 = 2¹ × 3¹ × 23¹ × 401¹

Step-3: Factors of 55323

List of positive integer factors of 55323 that divides 55323 without a remainder.

1, 3, 9, 27, 81, 683, 2049, 6147, 18441

Step-4: Factors of 55338

List of positive integer factors of 55338 that divides 55323 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 401, 802, 1203, 2406, 9223, 18446, 27669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55323 and 55338. The biggest common factor number is the GCF number.
So the greatest common factor 55323 and 55338 is 3.

Also check out the Least Common Multiple of 55323 and 55338