What is the Greatest Common Factor of 4539 and 4556?

Greatest common factor (GCF) of 4539 and 4556 is 17.

GCF(4539,4556) = 17

We will now calculate the prime factors of 4539 and 4556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4539 and 4556.

How to find the GCF of 4539 and 4556?

We will first find the prime factorization of 4539 and 4556. After we will calculate the factors of 4539 and 4556 and find the biggest common factor number .

Step-1: Prime Factorization of 4539

Prime factors of 4539 are 3, 17, 89. Prime factorization of 4539 in exponential form is:

4539 = 3¹ × 17¹ × 89¹

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 4539

List of positive integer factors of 4539 that divides 4539 without a remainder.

1, 3, 17, 51, 89, 267, 1513

Step-4: Factors of 4556

List of positive integer factors of 4556 that divides 4539 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 4539 and 4556. The biggest common factor number is the GCF number.
So the greatest common factor 4539 and 4556 is 17.

Also check out the Least Common Multiple of 4539 and 4556