What is the Greatest Common Factor of 4539 and 4551?

Greatest common factor (GCF) of 4539 and 4551 is 3.

GCF(4539,4551) = 3

We will now calculate the prime factors of 4539 and 4551, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4539 and 4551.

How to find the GCF of 4539 and 4551?

We will first find the prime factorization of 4539 and 4551. After we will calculate the factors of 4539 and 4551 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 4551

Prime factors of 4551 are 3, 37, 41. Prime factorization of 4551 in exponential form is:

4551 = 3¹ × 37¹ × 41¹

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 4551

List of positive integer factors of 4551 that divides 4539 without a remainder.

1, 3, 37, 41, 111, 123, 1517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4539 and 4551. The biggest common factor number is the GCF number.
So the greatest common factor 4539 and 4551 is 3.

Also check out the Least Common Multiple of 4539 and 4551