What is the Greatest Common Factor of 57729 and 57743?

Greatest common factor (GCF) of 57729 and 57743 is 7.

GCF(57729,57743) = 7

We will now calculate the prime factors of 57729 and 57743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57729 and 57743.

How to find the GCF of 57729 and 57743?

We will first find the prime factorization of 57729 and 57743. After we will calculate the factors of 57729 and 57743 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57743

Prime factors of 57743 are 7, 73, 113. Prime factorization of 57743 in exponential form is:

57743 = 7¹ × 73¹ × 113¹

Step-3: Factors of 57729

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

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

Step-4: Factors of 57743

List of positive integer factors of 57743 that divides 57729 without a remainder.

1, 7, 73, 113, 511, 791, 8249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57729 and 57743. The biggest common factor number is the GCF number.
So the greatest common factor 57729 and 57743 is 7.

Also check out the Least Common Multiple of 57729 and 57743