What is the Greatest Common Factor of 57123 and 57134?

Greatest common factor (GCF) of 57123 and 57134 is 11.

GCF(57123,57134) = 11

We will now calculate the prime factors of 57123 and 57134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57123 and 57134.

How to find the GCF of 57123 and 57134?

We will first find the prime factorization of 57123 and 57134. After we will calculate the factors of 57123 and 57134 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 57134

Prime factors of 57134 are 2, 7, 11, 53. Prime factorization of 57134 in exponential form is:

57134 = 2¹ × 7² × 11¹ × 53¹

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 57134

List of positive integer factors of 57134 that divides 57123 without a remainder.

1, 2, 7, 11, 14, 22, 49, 53, 77, 98, 106, 154, 371, 539, 583, 742, 1078, 1166, 2597, 4081, 5194, 8162, 28567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57123 and 57134. The biggest common factor number is the GCF number.
So the greatest common factor 57123 and 57134 is 11.

Also check out the Least Common Multiple of 57123 and 57134