What is the Greatest Common Factor of 57723 and 57729?

Greatest common factor (GCF) of 57723 and 57729 is 3.

GCF(57723,57729) = 3

We will now calculate the prime factors of 57723 and 57729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57723 and 57729.

How to find the GCF of 57723 and 57729?

We will first find the prime factorization of 57723 and 57729. After we will calculate the factors of 57723 and 57729 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 57729

Prime factors of 57729 are 3, 7, 2749. Prime factorization of 57729 in exponential form is:

57729 = 3¹ × 7¹ × 2749¹

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 57729

List of positive integer factors of 57729 that divides 57723 without a remainder.

1, 3, 7, 21, 2749, 8247, 19243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57723 and 57729. The biggest common factor number is the GCF number.
So the greatest common factor 57723 and 57729 is 3.

Also check out the Least Common Multiple of 57723 and 57729