What is the Greatest Common Factor of 4557 and 4566?

Greatest common factor (GCF) of 4557 and 4566 is 3.

GCF(4557,4566) = 3

We will now calculate the prime factors of 4557 and 4566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4557 and 4566.

How to find the GCF of 4557 and 4566?

We will first find the prime factorization of 4557 and 4566. After we will calculate the factors of 4557 and 4566 and find the biggest common factor number .

Step-1: Prime Factorization of 4557

Prime factors of 4557 are 3, 7, 31. Prime factorization of 4557 in exponential form is:

4557 = 3¹ × 7² × 31¹

Step-2: Prime Factorization of 4566

Prime factors of 4566 are 2, 3, 761. Prime factorization of 4566 in exponential form is:

4566 = 2¹ × 3¹ × 761¹

Step-3: Factors of 4557

List of positive integer factors of 4557 that divides 4557 without a remainder.

1, 3, 7, 21, 31, 49, 93, 147, 217, 651, 1519

Step-4: Factors of 4566

List of positive integer factors of 4566 that divides 4557 without a remainder.

1, 2, 3, 6, 761, 1522, 2283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4557 and 4566. The biggest common factor number is the GCF number.
So the greatest common factor 4557 and 4566 is 3.

Also check out the Least Common Multiple of 4557 and 4566