What is the Greatest Common Factor of 4557 and 4565?

Greatest common factor (GCF) of 4557 and 4565 is 1.

GCF(4557,4565) = 1

We will now calculate the prime factors of 4557 and 4565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4557 and 4565.

How to find the GCF of 4557 and 4565?

We will first find the prime factorization of 4557 and 4565. After we will calculate the factors of 4557 and 4565 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 4565

Prime factors of 4565 are 5, 11, 83. Prime factorization of 4565 in exponential form is:

4565 = 5¹ × 11¹ × 83¹

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 4565

List of positive integer factors of 4565 that divides 4557 without a remainder.

1, 5, 11, 55, 83, 415, 913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4557 and 4565. The biggest common factor number is the GCF number.
So the greatest common factor 4557 and 4565 is 1.

Also check out the Least Common Multiple of 4557 and 4565