What is the Greatest Common Factor of 57054 and 57069?

Greatest common factor (GCF) of 57054 and 57069 is 3.

GCF(57054,57069) = 3

We will now calculate the prime factors of 57054 and 57069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57054 and 57069.

How to find the GCF of 57054 and 57069?

We will first find the prime factorization of 57054 and 57069. After we will calculate the factors of 57054 and 57069 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 57069

Prime factors of 57069 are 3, 17, 373. Prime factorization of 57069 in exponential form is:

57069 = 3² × 17¹ × 373¹

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 57069

List of positive integer factors of 57069 that divides 57054 without a remainder.

1, 3, 9, 17, 51, 153, 373, 1119, 3357, 6341, 19023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57054 and 57069. The biggest common factor number is the GCF number.
So the greatest common factor 57054 and 57069 is 3.

Also check out the Least Common Multiple of 57054 and 57069