What is the Greatest Common Factor of 53994 and 54008?

Greatest common factor (GCF) of 53994 and 54008 is 2.

GCF(53994,54008) = 2

We will now calculate the prime factors of 53994 and 54008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53994 and 54008.

How to find the GCF of 53994 and 54008?

We will first find the prime factorization of 53994 and 54008. After we will calculate the factors of 53994 and 54008 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 54008

Prime factors of 54008 are 2, 43, 157. Prime factorization of 54008 in exponential form is:

54008 = 2³ × 43¹ × 157¹

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 54008

List of positive integer factors of 54008 that divides 53994 without a remainder.

1, 2, 4, 8, 43, 86, 157, 172, 314, 344, 628, 1256, 6751, 13502, 27004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53994 and 54008. The biggest common factor number is the GCF number.
So the greatest common factor 53994 and 54008 is 2.

Also check out the Least Common Multiple of 53994 and 54008