What is the Greatest Common Factor of 57048 and 57054?

Greatest common factor (GCF) of 57048 and 57054 is 6.

GCF(57048,57054) = 6

We will now calculate the prime factors of 57048 and 57054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57048 and 57054.

How to find the GCF of 57048 and 57054?

We will first find the prime factorization of 57048 and 57054. After we will calculate the factors of 57048 and 57054 and find the biggest common factor number .

Step-1: Prime Factorization of 57048

Prime factors of 57048 are 2, 3, 2377. Prime factorization of 57048 in exponential form is:

57048 = 2³ × 3¹ × 2377¹

Step-2: Prime Factorization of 57054

Prime factors of 57054 are 2, 3, 37, 257. Prime factorization of 57054 in exponential form is:

57054 = 2¹ × 3¹ × 37¹ × 257¹

Step-3: Factors of 57048

List of positive integer factors of 57048 that divides 57048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2377, 4754, 7131, 9508, 14262, 19016, 28524

Step-4: Factors of 57054

List of positive integer factors of 57054 that divides 57048 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 257, 514, 771, 1542, 9509, 19018, 28527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57048 and 57054. The biggest common factor number is the GCF number.
So the greatest common factor 57048 and 57054 is 6.

Also check out the Least Common Multiple of 57048 and 57054