What is the Greatest Common Factor of 57477 and 57483?

Greatest common factor (GCF) of 57477 and 57483 is 3.

GCF(57477,57483) = 3

We will now calculate the prime factors of 57477 and 57483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57477 and 57483.

How to find the GCF of 57477 and 57483?

We will first find the prime factorization of 57477 and 57483. After we will calculate the factors of 57477 and 57483 and find the biggest common factor number .

Step-1: Prime Factorization of 57477

Prime factors of 57477 are 3, 7, 17, 23. Prime factorization of 57477 in exponential form is:

57477 = 3¹ × 7² × 17¹ × 23¹

Step-2: Prime Factorization of 57483

Prime factors of 57483 are 3, 2129. Prime factorization of 57483 in exponential form is:

57483 = 3³ × 2129¹

Step-3: Factors of 57477

List of positive integer factors of 57477 that divides 57477 without a remainder.

1, 3, 7, 17, 21, 23, 49, 51, 69, 119, 147, 161, 357, 391, 483, 833, 1127, 1173, 2499, 2737, 3381, 8211, 19159

Step-4: Factors of 57483

List of positive integer factors of 57483 that divides 57477 without a remainder.

1, 3, 9, 27, 2129, 6387, 19161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57477 and 57483. The biggest common factor number is the GCF number.
So the greatest common factor 57477 and 57483 is 3.

Also check out the Least Common Multiple of 57477 and 57483