What is the Greatest Common Factor of 2544 and 2559?

Greatest common factor (GCF) of 2544 and 2559 is 3.

GCF(2544,2559) = 3

We will now calculate the prime factors of 2544 and 2559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2544 and 2559.

How to find the GCF of 2544 and 2559?

We will first find the prime factorization of 2544 and 2559. After we will calculate the factors of 2544 and 2559 and find the biggest common factor number .

Step-1: Prime Factorization of 2544

Prime factors of 2544 are 2, 3, 53. Prime factorization of 2544 in exponential form is:

2544 = 2⁴ × 3¹ × 53¹

Step-2: Prime Factorization of 2559

Prime factors of 2559 are 3, 853. Prime factorization of 2559 in exponential form is:

2559 = 3¹ × 853¹

Step-3: Factors of 2544

List of positive integer factors of 2544 that divides 2544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 53, 106, 159, 212, 318, 424, 636, 848, 1272

Step-4: Factors of 2559

List of positive integer factors of 2559 that divides 2544 without a remainder.

1, 3, 853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2544 and 2559. The biggest common factor number is the GCF number.
So the greatest common factor 2544 and 2559 is 3.

Also check out the Least Common Multiple of 2544 and 2559