What is the Greatest Common Factor of 4538 and 4557?

Greatest common factor (GCF) of 4538 and 4557 is 1.

GCF(4538,4557) = 1

We will now calculate the prime factors of 4538 and 4557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4538 and 4557.

How to find the GCF of 4538 and 4557?

We will first find the prime factorization of 4538 and 4557. After we will calculate the factors of 4538 and 4557 and find the biggest common factor number .

Step-1: Prime Factorization of 4538

Prime factors of 4538 are 2, 2269. Prime factorization of 4538 in exponential form is:

4538 = 2¹ × 2269¹

Step-2: 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-3: Factors of 4538

List of positive integer factors of 4538 that divides 4538 without a remainder.

1, 2, 2269

Step-4: Factors of 4557

List of positive integer factors of 4557 that divides 4538 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4538 and 4557. The biggest common factor number is the GCF number.
So the greatest common factor 4538 and 4557 is 1.

Also check out the Least Common Multiple of 4538 and 4557