What is the Greatest Common Factor of 54076 and 54082?

Greatest common factor (GCF) of 54076 and 54082 is 2.

GCF(54076,54082) = 2

We will now calculate the prime factors of 54076 and 54082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54076 and 54082.

How to find the GCF of 54076 and 54082?

We will first find the prime factorization of 54076 and 54082. After we will calculate the factors of 54076 and 54082 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 54082

Prime factors of 54082 are 2, 7, 3863. Prime factorization of 54082 in exponential form is:

54082 = 2¹ × 7¹ × 3863¹

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 54082

List of positive integer factors of 54082 that divides 54076 without a remainder.

1, 2, 7, 14, 3863, 7726, 27041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54076 and 54082. The biggest common factor number is the GCF number.
So the greatest common factor 54076 and 54082 is 2.

Also check out the Least Common Multiple of 54076 and 54082