What is the Greatest Common Factor of 17524 and 17544?

Greatest common factor (GCF) of 17524 and 17544 is 4.

GCF(17524,17544) = 4

We will now calculate the prime factors of 17524 and 17544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17524 and 17544.

How to find the GCF of 17524 and 17544?

We will first find the prime factorization of 17524 and 17544. After we will calculate the factors of 17524 and 17544 and find the biggest common factor number .

Step-1: Prime Factorization of 17524

Prime factors of 17524 are 2, 13, 337. Prime factorization of 17524 in exponential form is:

17524 = 2² × 13¹ × 337¹

Step-2: 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-3: Factors of 17524

List of positive integer factors of 17524 that divides 17524 without a remainder.

1, 2, 4, 13, 26, 52, 337, 674, 1348, 4381, 8762

Step-4: Factors of 17544

List of positive integer factors of 17544 that divides 17524 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17524 and 17544. The biggest common factor number is the GCF number.
So the greatest common factor 17524 and 17544 is 4.

Also check out the Least Common Multiple of 17524 and 17544