What is the Greatest Common Factor of 57054 and 57063?

Greatest common factor (GCF) of 57054 and 57063 is 3.

GCF(57054,57063) = 3

We will now calculate the prime factors of 57054 and 57063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57054 and 57063.

How to find the GCF of 57054 and 57063?

We will first find the prime factorization of 57054 and 57063. After we will calculate the factors of 57054 and 57063 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57063

Prime factors of 57063 are 3, 23, 827. Prime factorization of 57063 in exponential form is:

57063 = 3¹ × 23¹ × 827¹

Step-3: Factors of 57054

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

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

Step-4: Factors of 57063

List of positive integer factors of 57063 that divides 57054 without a remainder.

1, 3, 23, 69, 827, 2481, 19021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57054 and 57063. The biggest common factor number is the GCF number.
So the greatest common factor 57054 and 57063 is 3.

Also check out the Least Common Multiple of 57054 and 57063