What is the Greatest Common Factor of 2592 and 2612?

Greatest common factor (GCF) of 2592 and 2612 is 4.

GCF(2592,2612) = 4

We will now calculate the prime factors of 2592 and 2612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2592 and 2612.

How to find the GCF of 2592 and 2612?

We will first find the prime factorization of 2592 and 2612. After we will calculate the factors of 2592 and 2612 and find the biggest common factor number .

Step-1: Prime Factorization of 2592

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

2592 = 2⁵ × 3⁴

Step-2: Prime Factorization of 2612

Prime factors of 2612 are 2, 653. Prime factorization of 2612 in exponential form is:

2612 = 2² × 653¹

Step-3: Factors of 2592

List of positive integer factors of 2592 that divides 2592 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

Step-4: Factors of 2612

List of positive integer factors of 2612 that divides 2592 without a remainder.

1, 2, 4, 653, 1306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2592 and 2612. The biggest common factor number is the GCF number.
So the greatest common factor 2592 and 2612 is 4.

Also check out the Least Common Multiple of 2592 and 2612