What is the Greatest Common Factor of 4539 and 4549?

Greatest common factor (GCF) of 4539 and 4549 is 1.

GCF(4539,4549) = 1

We will now calculate the prime factors of 4539 and 4549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4539 and 4549.

How to find the GCF of 4539 and 4549?

We will first find the prime factorization of 4539 and 4549. After we will calculate the factors of 4539 and 4549 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 4549

Prime factors of 4549 are 4549. Prime factorization of 4549 in exponential form is:

4549 = 4549¹

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 4549

List of positive integer factors of 4549 that divides 4539 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4539 and 4549. The biggest common factor number is the GCF number.
So the greatest common factor 4539 and 4549 is 1.

Also check out the Least Common Multiple of 4539 and 4549