What is the Greatest Common Factor of 53997 and 54012?

Greatest common factor (GCF) of 53997 and 54012 is 3.

GCF(53997,54012) = 3

We will now calculate the prime factors of 53997 and 54012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53997 and 54012.

How to find the GCF of 53997 and 54012?

We will first find the prime factorization of 53997 and 54012. After we will calculate the factors of 53997 and 54012 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 54012

Prime factors of 54012 are 2, 3, 7, 643. Prime factorization of 54012 in exponential form is:

54012 = 2² × 3¹ × 7¹ × 643¹

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 54012

List of positive integer factors of 54012 that divides 53997 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 643, 1286, 1929, 2572, 3858, 4501, 7716, 9002, 13503, 18004, 27006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53997 and 54012. The biggest common factor number is the GCF number.
So the greatest common factor 53997 and 54012 is 3.

Also check out the Least Common Multiple of 53997 and 54012