What is the Greatest Common Factor of 54076 and 54087?

Greatest common factor (GCF) of 54076 and 54087 is 11.

GCF(54076,54087) = 11

We will now calculate the prime factors of 54076 and 54087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54076 and 54087.

How to find the GCF of 54076 and 54087?

We will first find the prime factorization of 54076 and 54087. After we will calculate the factors of 54076 and 54087 and find the biggest common factor number .

Step-1: Prime Factorization of 54076

Prime factors of 54076 are 2, 11, 1229. Prime factorization of 54076 in exponential form is:

54076 = 2² × 11¹ × 1229¹

Step-2: Prime Factorization of 54087

Prime factors of 54087 are 3, 11, 149. Prime factorization of 54087 in exponential form is:

54087 = 3¹ × 11² × 149¹

Step-3: Factors of 54076

List of positive integer factors of 54076 that divides 54076 without a remainder.

1, 2, 4, 11, 22, 44, 1229, 2458, 4916, 13519, 27038

Step-4: Factors of 54087

List of positive integer factors of 54087 that divides 54076 without a remainder.

1, 3, 11, 33, 121, 149, 363, 447, 1639, 4917, 18029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54076 and 54087. The biggest common factor number is the GCF number.
So the greatest common factor 54076 and 54087 is 11.

Also check out the Least Common Multiple of 54076 and 54087