What is the Greatest Common Factor of 17490 and 17505?

Greatest common factor (GCF) of 17490 and 17505 is 15.

GCF(17490,17505) = 15

We will now calculate the prime factors of 17490 and 17505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17490 and 17505.

How to find the GCF of 17490 and 17505?

We will first find the prime factorization of 17490 and 17505. After we will calculate the factors of 17490 and 17505 and find the biggest common factor number .

Step-1: Prime Factorization of 17490

Prime factors of 17490 are 2, 3, 5, 11, 53. Prime factorization of 17490 in exponential form is:

17490 = 2¹ × 3¹ × 5¹ × 11¹ × 53¹

Step-2: 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-3: Factors of 17490

List of positive integer factors of 17490 that divides 17490 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 53, 55, 66, 106, 110, 159, 165, 265, 318, 330, 530, 583, 795, 1166, 1590, 1749, 2915, 3498, 5830, 8745

Step-4: Factors of 17505

List of positive integer factors of 17505 that divides 17490 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17490 and 17505. The biggest common factor number is the GCF number.
So the greatest common factor 17490 and 17505 is 15.

Also check out the Least Common Multiple of 17490 and 17505