What is the Greatest Common Factor of 4538 and 4556?

Greatest common factor (GCF) of 4538 and 4556 is 2.

GCF(4538,4556) = 2

We will now calculate the prime factors of 4538 and 4556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4538 and 4556.

How to find the GCF of 4538 and 4556?

We will first find the prime factorization of 4538 and 4556. After we will calculate the factors of 4538 and 4556 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 4556

Prime factors of 4556 are 2, 17, 67. Prime factorization of 4556 in exponential form is:

4556 = 2² × 17¹ × 67¹

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 4556

List of positive integer factors of 4556 that divides 4538 without a remainder.

1, 2, 4, 17, 34, 67, 68, 134, 268, 1139, 2278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4538 and 4556. The biggest common factor number is the GCF number.
So the greatest common factor 4538 and 4556 is 2.

Also check out the Least Common Multiple of 4538 and 4556