What is the Greatest Common Factor of 2577 and 2592?

Greatest common factor (GCF) of 2577 and 2592 is 3.

GCF(2577,2592) = 3

We will now calculate the prime factors of 2577 and 2592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2577 and 2592.

How to find the GCF of 2577 and 2592?

We will first find the prime factorization of 2577 and 2592. After we will calculate the factors of 2577 and 2592 and find the biggest common factor number .

Step-1: Prime Factorization of 2577

Prime factors of 2577 are 3, 859. Prime factorization of 2577 in exponential form is:

2577 = 3¹ × 859¹

Step-2: Prime Factorization of 2592

Prime factors of 2592 are 2, 3. Prime factorization of 2592 in exponential form is:

2592 = 2⁵ × 3⁴

Step-3: Factors of 2577

List of positive integer factors of 2577 that divides 2577 without a remainder.

1, 3, 859

Step-4: Factors of 2592

List of positive integer factors of 2592 that divides 2577 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2577 and 2592. The biggest common factor number is the GCF number.
So the greatest common factor 2577 and 2592 is 3.

Also check out the Least Common Multiple of 2577 and 2592