What is the Greatest Common Factor of 57123 and 57138?

Greatest common factor (GCF) of 57123 and 57138 is 3.

GCF(57123,57138) = 3

We will now calculate the prime factors of 57123 and 57138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57123 and 57138.

How to find the GCF of 57123 and 57138?

We will first find the prime factorization of 57123 and 57138. After we will calculate the factors of 57123 and 57138 and find the biggest common factor number .

Step-1: Prime Factorization of 57123

Prime factors of 57123 are 3, 11, 577. Prime factorization of 57123 in exponential form is:

57123 = 3² × 11¹ × 577¹

Step-2: Prime Factorization of 57138

Prime factors of 57138 are 2, 3, 89, 107. Prime factorization of 57138 in exponential form is:

57138 = 2¹ × 3¹ × 89¹ × 107¹

Step-3: Factors of 57123

List of positive integer factors of 57123 that divides 57123 without a remainder.

1, 3, 9, 11, 33, 99, 577, 1731, 5193, 6347, 19041

Step-4: Factors of 57138

List of positive integer factors of 57138 that divides 57123 without a remainder.

1, 2, 3, 6, 89, 107, 178, 214, 267, 321, 534, 642, 9523, 19046, 28569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57123 and 57138. The biggest common factor number is the GCF number.
So the greatest common factor 57123 and 57138 is 3.

Also check out the Least Common Multiple of 57123 and 57138