What is the Greatest Common Factor of 17544 and 17561?

Greatest common factor (GCF) of 17544 and 17561 is 17.

GCF(17544,17561) = 17

We will now calculate the prime factors of 17544 and 17561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17544 and 17561.

How to find the GCF of 17544 and 17561?

We will first find the prime factorization of 17544 and 17561. After we will calculate the factors of 17544 and 17561 and find the biggest common factor number .

Step-1: Prime Factorization of 17544

Prime factors of 17544 are 2, 3, 17, 43. Prime factorization of 17544 in exponential form is:

17544 = 2³ × 3¹ × 17¹ × 43¹

Step-2: Prime Factorization of 17561

Prime factors of 17561 are 17, 1033. Prime factorization of 17561 in exponential form is:

17561 = 17¹ × 1033¹

Step-3: Factors of 17544

List of positive integer factors of 17544 that divides 17544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 43, 51, 68, 86, 102, 129, 136, 172, 204, 258, 344, 408, 516, 731, 1032, 1462, 2193, 2924, 4386, 5848, 8772

Step-4: Factors of 17561

List of positive integer factors of 17561 that divides 17544 without a remainder.

1, 17, 1033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17544 and 17561. The biggest common factor number is the GCF number.
So the greatest common factor 17544 and 17561 is 17.

Also check out the Least Common Multiple of 17544 and 17561