What is the Greatest Common Factor of 17288 and 17292?

Greatest common factor (GCF) of 17288 and 17292 is 4.

GCF(17288,17292) = 4

We will now calculate the prime factors of 17288 and 17292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17288 and 17292.

How to find the GCF of 17288 and 17292?

We will first find the prime factorization of 17288 and 17292. After we will calculate the factors of 17288 and 17292 and find the biggest common factor number .

Step-1: Prime Factorization of 17288

Prime factors of 17288 are 2, 2161. Prime factorization of 17288 in exponential form is:

17288 = 2³ × 2161¹

Step-2: Prime Factorization of 17292

Prime factors of 17292 are 2, 3, 11, 131. Prime factorization of 17292 in exponential form is:

17292 = 2² × 3¹ × 11¹ × 131¹

Step-3: Factors of 17288

List of positive integer factors of 17288 that divides 17288 without a remainder.

1, 2, 4, 8, 2161, 4322, 8644

Step-4: Factors of 17292

List of positive integer factors of 17292 that divides 17288 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 131, 132, 262, 393, 524, 786, 1441, 1572, 2882, 4323, 5764, 8646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17288 and 17292. The biggest common factor number is the GCF number.
So the greatest common factor 17288 and 17292 is 4.

Also check out the Least Common Multiple of 17288 and 17292