What is the Greatest Common Factor of 17505 and 17520?

Greatest common factor (GCF) of 17505 and 17520 is 15.

GCF(17505,17520) = 15

We will now calculate the prime factors of 17505 and 17520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17505 and 17520.

How to find the GCF of 17505 and 17520?

We will first find the prime factorization of 17505 and 17520. After we will calculate the factors of 17505 and 17520 and find the biggest common factor number .

Step-1: Prime Factorization of 17505

Prime factors of 17505 are 3, 5, 389. Prime factorization of 17505 in exponential form is:

17505 = 3² × 5¹ × 389¹

Step-2: 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-3: Factors of 17505

List of positive integer factors of 17505 that divides 17505 without a remainder.

1, 3, 5, 9, 15, 45, 389, 1167, 1945, 3501, 5835

Step-4: Factors of 17520

List of positive integer factors of 17520 that divides 17505 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17505 and 17520. The biggest common factor number is the GCF number.
So the greatest common factor 17505 and 17520 is 15.

Also check out the Least Common Multiple of 17505 and 17520