What is the Greatest Common Factor of 57723 and 57731?

Greatest common factor (GCF) of 57723 and 57731 is 1.

GCF(57723,57731) = 1

We will now calculate the prime factors of 57723 and 57731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57723 and 57731.

How to find the GCF of 57723 and 57731?

We will first find the prime factorization of 57723 and 57731. After we will calculate the factors of 57723 and 57731 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57731

Prime factors of 57731 are 57731. Prime factorization of 57731 in exponential form is:

57731 = 57731¹

Step-3: Factors of 57723

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

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

Step-4: Factors of 57731

List of positive integer factors of 57731 that divides 57723 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57723 and 57731. The biggest common factor number is the GCF number.
So the greatest common factor 57723 and 57731 is 1.

Also check out the Least Common Multiple of 57723 and 57731