What is the Greatest Common Factor of 17536 and 17544?

Greatest common factor (GCF) of 17536 and 17544 is 8.

GCF(17536,17544) = 8

We will now calculate the prime factors of 17536 and 17544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17536 and 17544.

How to find the GCF of 17536 and 17544?

We will first find the prime factorization of 17536 and 17544. After we will calculate the factors of 17536 and 17544 and find the biggest common factor number .

Step-1: Prime Factorization of 17536

Prime factors of 17536 are 2, 137. Prime factorization of 17536 in exponential form is:

17536 = 2⁷ × 137¹

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 17536

List of positive integer factors of 17536 that divides 17536 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 137, 274, 548, 1096, 2192, 4384, 8768

Step-4: Factors of 17544

List of positive integer factors of 17544 that divides 17536 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 17536 and 17544. The biggest common factor number is the GCF number.
So the greatest common factor 17536 and 17544 is 8.

Also check out the Least Common Multiple of 17536 and 17544