What is the Greatest Common Factor of 4539 and 4548?

Greatest common factor (GCF) of 4539 and 4548 is 3.

GCF(4539,4548) = 3

We will now calculate the prime factors of 4539 and 4548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4539 and 4548.

How to find the GCF of 4539 and 4548?

We will first find the prime factorization of 4539 and 4548. After we will calculate the factors of 4539 and 4548 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 4548

Prime factors of 4548 are 2, 3, 379. Prime factorization of 4548 in exponential form is:

4548 = 2² × 3¹ × 379¹

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 4548

List of positive integer factors of 4548 that divides 4539 without a remainder.

1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4539 and 4548. The biggest common factor number is the GCF number.
So the greatest common factor 4539 and 4548 is 3.

Also check out the Least Common Multiple of 4539 and 4548