What is the Greatest Common Factor of 57429 and 57441?

Greatest common factor (GCF) of 57429 and 57441 is 3.

GCF(57429,57441) = 3

We will now calculate the prime factors of 57429 and 57441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57429 and 57441.

How to find the GCF of 57429 and 57441?

We will first find the prime factorization of 57429 and 57441. After we will calculate the factors of 57429 and 57441 and find the biggest common factor number .

Step-1: Prime Factorization of 57429

Prime factors of 57429 are 3, 709. Prime factorization of 57429 in exponential form is:

57429 = 3⁴ × 709¹

Step-2: Prime Factorization of 57441

Prime factors of 57441 are 3, 41, 467. Prime factorization of 57441 in exponential form is:

57441 = 3¹ × 41¹ × 467¹

Step-3: Factors of 57429

List of positive integer factors of 57429 that divides 57429 without a remainder.

1, 3, 9, 27, 81, 709, 2127, 6381, 19143

Step-4: Factors of 57441

List of positive integer factors of 57441 that divides 57429 without a remainder.

1, 3, 41, 123, 467, 1401, 19147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57429 and 57441. The biggest common factor number is the GCF number.
So the greatest common factor 57429 and 57441 is 3.

Also check out the Least Common Multiple of 57429 and 57441