What is the Greatest Common Factor of 53997 and 54009?

Greatest common factor (GCF) of 53997 and 54009 is 3.

GCF(53997,54009) = 3

We will now calculate the prime factors of 53997 and 54009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53997 and 54009.

How to find the GCF of 53997 and 54009?

We will first find the prime factorization of 53997 and 54009. After we will calculate the factors of 53997 and 54009 and find the biggest common factor number .

Step-1: Prime Factorization of 53997

Prime factors of 53997 are 3, 41, 439. Prime factorization of 53997 in exponential form is:

53997 = 3¹ × 41¹ × 439¹

Step-2: 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-3: Factors of 53997

List of positive integer factors of 53997 that divides 53997 without a remainder.

1, 3, 41, 123, 439, 1317, 17999

Step-4: Factors of 54009

List of positive integer factors of 54009 that divides 53997 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53997 and 54009. The biggest common factor number is the GCF number.
So the greatest common factor 53997 and 54009 is 3.

Also check out the Least Common Multiple of 53997 and 54009