What is the Greatest Common Factor of 53994 and 54004?

Greatest common factor (GCF) of 53994 and 54004 is 2.

GCF(53994,54004) = 2

We will now calculate the prime factors of 53994 and 54004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53994 and 54004.

How to find the GCF of 53994 and 54004?

We will first find the prime factorization of 53994 and 54004. After we will calculate the factors of 53994 and 54004 and find the biggest common factor number .

Step-1: Prime Factorization of 53994

Prime factors of 53994 are 2, 3, 8999. Prime factorization of 53994 in exponential form is:

53994 = 2¹ × 3¹ × 8999¹

Step-2: Prime Factorization of 54004

Prime factors of 54004 are 2, 23, 587. Prime factorization of 54004 in exponential form is:

54004 = 2² × 23¹ × 587¹

Step-3: Factors of 53994

List of positive integer factors of 53994 that divides 53994 without a remainder.

1, 2, 3, 6, 8999, 17998, 26997

Step-4: Factors of 54004

List of positive integer factors of 54004 that divides 53994 without a remainder.

1, 2, 4, 23, 46, 92, 587, 1174, 2348, 13501, 27002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53994 and 54004. The biggest common factor number is the GCF number.
So the greatest common factor 53994 and 54004 is 2.

Also check out the Least Common Multiple of 53994 and 54004