What is the Greatest Common Factor of 17592 and 17612?

Greatest common factor (GCF) of 17592 and 17612 is 4.

GCF(17592,17612) = 4

We will now calculate the prime factors of 17592 and 17612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17592 and 17612.

How to find the GCF of 17592 and 17612?

We will first find the prime factorization of 17592 and 17612. After we will calculate the factors of 17592 and 17612 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 17612

Prime factors of 17612 are 2, 7, 17, 37. Prime factorization of 17612 in exponential form is:

17612 = 2² × 7¹ × 17¹ × 37¹

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 17612

List of positive integer factors of 17612 that divides 17592 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 37, 68, 74, 119, 148, 238, 259, 476, 518, 629, 1036, 1258, 2516, 4403, 8806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17592 and 17612. The biggest common factor number is the GCF number.
So the greatest common factor 17592 and 17612 is 4.

Also check out the Least Common Multiple of 17592 and 17612