What is the Greatest Common Factor of 57038 and 57054?

Greatest common factor (GCF) of 57038 and 57054 is 2.

GCF(57038,57054) = 2

We will now calculate the prime factors of 57038 and 57054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57038 and 57054.

How to find the GCF of 57038 and 57054?

We will first find the prime factorization of 57038 and 57054. After we will calculate the factors of 57038 and 57054 and find the biggest common factor number .

Step-1: Prime Factorization of 57038

Prime factors of 57038 are 2, 19, 79. Prime factorization of 57038 in exponential form is:

57038 = 2¹ × 19² × 79¹

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 57038

List of positive integer factors of 57038 that divides 57038 without a remainder.

1, 2, 19, 38, 79, 158, 361, 722, 1501, 3002, 28519

Step-4: Factors of 57054

List of positive integer factors of 57054 that divides 57038 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 57038 and 57054. The biggest common factor number is the GCF number.
So the greatest common factor 57038 and 57054 is 2.

Also check out the Least Common Multiple of 57038 and 57054