What is the Greatest Common Factor of 57429 and 57436?

Greatest common factor (GCF) of 57429 and 57436 is 1.

GCF(57429,57436) = 1

We will now calculate the prime factors of 57429 and 57436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57429 and 57436.

How to find the GCF of 57429 and 57436?

We will first find the prime factorization of 57429 and 57436. After we will calculate the factors of 57429 and 57436 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 57436

Prime factors of 57436 are 2, 83, 173. Prime factorization of 57436 in exponential form is:

57436 = 2² × 83¹ × 173¹

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 57436

List of positive integer factors of 57436 that divides 57429 without a remainder.

1, 2, 4, 83, 166, 173, 332, 346, 692, 14359, 28718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57429 and 57436. The biggest common factor number is the GCF number.
So the greatest common factor 57429 and 57436 is 1.

Also check out the Least Common Multiple of 57429 and 57436