What is the Greatest Common Factor of 57111 and 57123?

Greatest common factor (GCF) of 57111 and 57123 is 3.

GCF(57111,57123) = 3

We will now calculate the prime factors of 57111 and 57123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57111 and 57123.

How to find the GCF of 57111 and 57123?

We will first find the prime factorization of 57111 and 57123. After we will calculate the factors of 57111 and 57123 and find the biggest common factor number .

Step-1: Prime Factorization of 57111

Prime factors of 57111 are 3, 19037. Prime factorization of 57111 in exponential form is:

57111 = 3¹ × 19037¹

Step-2: 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-3: Factors of 57111

List of positive integer factors of 57111 that divides 57111 without a remainder.

1, 3, 19037

Step-4: Factors of 57123

List of positive integer factors of 57123 that divides 57111 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57111 and 57123. The biggest common factor number is the GCF number.
So the greatest common factor 57111 and 57123 is 3.

Also check out the Least Common Multiple of 57111 and 57123