What is the Greatest Common Factor of 57717 and 57723?

Greatest common factor (GCF) of 57717 and 57723 is 3.

GCF(57717,57723) = 3

We will now calculate the prime factors of 57717 and 57723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57717 and 57723.

How to find the GCF of 57717 and 57723?

We will first find the prime factorization of 57717 and 57723. After we will calculate the factors of 57717 and 57723 and find the biggest common factor number .

Step-1: Prime Factorization of 57717

Prime factors of 57717 are 3, 11, 53. Prime factorization of 57717 in exponential form is:

57717 = 3² × 11² × 53¹

Step-2: Prime Factorization of 57723

Prime factors of 57723 are 3, 71, 271. Prime factorization of 57723 in exponential form is:

57723 = 3¹ × 71¹ × 271¹

Step-3: Factors of 57717

List of positive integer factors of 57717 that divides 57717 without a remainder.

1, 3, 9, 11, 33, 53, 99, 121, 159, 363, 477, 583, 1089, 1749, 5247, 6413, 19239

Step-4: Factors of 57723

List of positive integer factors of 57723 that divides 57717 without a remainder.

1, 3, 71, 213, 271, 813, 19241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57717 and 57723. The biggest common factor number is the GCF number.
So the greatest common factor 57717 and 57723 is 3.

Also check out the Least Common Multiple of 57717 and 57723