What is the Greatest Common Factor of 1584 and 1592?

Greatest common factor (GCF) of 1584 and 1592 is 8.

GCF(1584,1592) = 8

We will now calculate the prime factors of 1584 and 1592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1584 and 1592.

How to find the GCF of 1584 and 1592?

We will first find the prime factorization of 1584 and 1592. After we will calculate the factors of 1584 and 1592 and find the biggest common factor number .

Step-1: Prime Factorization of 1584

Prime factors of 1584 are 2, 3, 11. Prime factorization of 1584 in exponential form is:

1584 = 2⁴ × 3² × 11¹

Step-2: Prime Factorization of 1592

Prime factors of 1592 are 2, 199. Prime factorization of 1592 in exponential form is:

1592 = 2³ × 199¹

Step-3: Factors of 1584

List of positive integer factors of 1584 that divides 1584 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 66, 72, 88, 99, 132, 144, 176, 198, 264, 396, 528, 792

Step-4: Factors of 1592

List of positive integer factors of 1592 that divides 1584 without a remainder.

1, 2, 4, 8, 199, 398, 796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1584 and 1592. The biggest common factor number is the GCF number.
So the greatest common factor 1584 and 1592 is 8.

Also check out the Least Common Multiple of 1584 and 1592