What is the Greatest Common Factor of 17520 and 17536?

Greatest common factor (GCF) of 17520 and 17536 is 16.

GCF(17520,17536) = 16

We will now calculate the prime factors of 17520 and 17536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17520 and 17536.

How to find the GCF of 17520 and 17536?

We will first find the prime factorization of 17520 and 17536. After we will calculate the factors of 17520 and 17536 and find the biggest common factor number .

Step-1: Prime Factorization of 17520

Prime factors of 17520 are 2, 3, 5, 73. Prime factorization of 17520 in exponential form is:

17520 = 2⁴ × 3¹ × 5¹ × 73¹

Step-2: Prime Factorization of 17536

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

17536 = 2⁷ × 137¹

Step-3: Factors of 17520

List of positive integer factors of 17520 that divides 17520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 73, 80, 120, 146, 219, 240, 292, 365, 438, 584, 730, 876, 1095, 1168, 1460, 1752, 2190, 2920, 3504, 4380, 5840, 8760

Step-4: Factors of 17536

List of positive integer factors of 17536 that divides 17520 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17520 and 17536. The biggest common factor number is the GCF number.
So the greatest common factor 17520 and 17536 is 16.

Also check out the Least Common Multiple of 17520 and 17536