What is the Greatest Common Factor of 54171 and 54184?

Greatest common factor (GCF) of 54171 and 54184 is 13.

GCF(54171,54184) = 13

We will now calculate the prime factors of 54171 and 54184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54171 and 54184.

How to find the GCF of 54171 and 54184?

We will first find the prime factorization of 54171 and 54184. After we will calculate the factors of 54171 and 54184 and find the biggest common factor number .

Step-1: Prime Factorization of 54171

Prime factors of 54171 are 3, 13, 463. Prime factorization of 54171 in exponential form is:

54171 = 3² × 13¹ × 463¹

Step-2: Prime Factorization of 54184

Prime factors of 54184 are 2, 13, 521. Prime factorization of 54184 in exponential form is:

54184 = 2³ × 13¹ × 521¹

Step-3: Factors of 54171

List of positive integer factors of 54171 that divides 54171 without a remainder.

1, 3, 9, 13, 39, 117, 463, 1389, 4167, 6019, 18057

Step-4: Factors of 54184

List of positive integer factors of 54184 that divides 54171 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 521, 1042, 2084, 4168, 6773, 13546, 27092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54171 and 54184. The biggest common factor number is the GCF number.
So the greatest common factor 54171 and 54184 is 13.

Also check out the Least Common Multiple of 54171 and 54184