What is the Greatest Common Factor of 17512 and 17523?

Greatest common factor (GCF) of 17512 and 17523 is 11.

GCF(17512,17523) = 11

We will now calculate the prime factors of 17512 and 17523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17512 and 17523.

How to find the GCF of 17512 and 17523?

We will first find the prime factorization of 17512 and 17523. After we will calculate the factors of 17512 and 17523 and find the biggest common factor number .

Step-1: Prime Factorization of 17512

Prime factors of 17512 are 2, 11, 199. Prime factorization of 17512 in exponential form is:

17512 = 2³ × 11¹ × 199¹

Step-2: Prime Factorization of 17523

Prime factors of 17523 are 3, 11, 59. Prime factorization of 17523 in exponential form is:

17523 = 3³ × 11¹ × 59¹

Step-3: Factors of 17512

List of positive integer factors of 17512 that divides 17512 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 199, 398, 796, 1592, 2189, 4378, 8756

Step-4: Factors of 17523

List of positive integer factors of 17523 that divides 17512 without a remainder.

1, 3, 9, 11, 27, 33, 59, 99, 177, 297, 531, 649, 1593, 1947, 5841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17512 and 17523. The biggest common factor number is the GCF number.
So the greatest common factor 17512 and 17523 is 11.

Also check out the Least Common Multiple of 17512 and 17523