What is the Greatest Common Factor of 55323 and 55327?

Greatest common factor (GCF) of 55323 and 55327 is 1.

GCF(55323,55327) = 1

We will now calculate the prime factors of 55323 and 55327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55323 and 55327.

How to find the GCF of 55323 and 55327?

We will first find the prime factorization of 55323 and 55327. After we will calculate the factors of 55323 and 55327 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 55327

Prime factors of 55327 are 61, 907. Prime factorization of 55327 in exponential form is:

55327 = 61¹ × 907¹

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 55327

List of positive integer factors of 55327 that divides 55323 without a remainder.

1, 61, 907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55323 and 55327. The biggest common factor number is the GCF number.
So the greatest common factor 55323 and 55327 is 1.

Also check out the Least Common Multiple of 55323 and 55327