What is the Greatest Common Factor of 54009 and 54023?

Greatest common factor (GCF) of 54009 and 54023 is 1.

GCF(54009,54023) = 1

We will now calculate the prime factors of 54009 and 54023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54009 and 54023.

How to find the GCF of 54009 and 54023?

We will first find the prime factorization of 54009 and 54023. After we will calculate the factors of 54009 and 54023 and find the biggest common factor number .

Step-1: Prime Factorization of 54009

Prime factors of 54009 are 3, 17, 353. Prime factorization of 54009 in exponential form is:

54009 = 3² × 17¹ × 353¹

Step-2: Prime Factorization of 54023

Prime factors of 54023 are 89, 607. Prime factorization of 54023 in exponential form is:

54023 = 89¹ × 607¹

Step-3: Factors of 54009

List of positive integer factors of 54009 that divides 54009 without a remainder.

1, 3, 9, 17, 51, 153, 353, 1059, 3177, 6001, 18003

Step-4: Factors of 54023

List of positive integer factors of 54023 that divides 54009 without a remainder.

1, 89, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54009 and 54023. The biggest common factor number is the GCF number.
So the greatest common factor 54009 and 54023 is 1.

Also check out the Least Common Multiple of 54009 and 54023