What is the Greatest Common Factor of 17592 and 17608?

Greatest common factor (GCF) of 17592 and 17608 is 8.

GCF(17592,17608) = 8

We will now calculate the prime factors of 17592 and 17608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17592 and 17608.

How to find the GCF of 17592 and 17608?

We will first find the prime factorization of 17592 and 17608. After we will calculate the factors of 17592 and 17608 and find the biggest common factor number .

Step-1: Prime Factorization of 17592

Prime factors of 17592 are 2, 3, 733. Prime factorization of 17592 in exponential form is:

17592 = 2³ × 3¹ × 733¹

Step-2: Prime Factorization of 17608

Prime factors of 17608 are 2, 31, 71. Prime factorization of 17608 in exponential form is:

17608 = 2³ × 31¹ × 71¹

Step-3: Factors of 17592

List of positive integer factors of 17592 that divides 17592 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 733, 1466, 2199, 2932, 4398, 5864, 8796

Step-4: Factors of 17608

List of positive integer factors of 17608 that divides 17592 without a remainder.

1, 2, 4, 8, 31, 62, 71, 124, 142, 248, 284, 568, 2201, 4402, 8804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17592 and 17608. The biggest common factor number is the GCF number.
So the greatest common factor 17592 and 17608 is 8.

Also check out the Least Common Multiple of 17592 and 17608