What is the Greatest Common Factor of 17478 and 17490?

Greatest common factor (GCF) of 17478 and 17490 is 6.

GCF(17478,17490) = 6

We will now calculate the prime factors of 17478 and 17490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17478 and 17490.

How to find the GCF of 17478 and 17490?

We will first find the prime factorization of 17478 and 17490. After we will calculate the factors of 17478 and 17490 and find the biggest common factor number .

Step-1: Prime Factorization of 17478

Prime factors of 17478 are 2, 3, 971. Prime factorization of 17478 in exponential form is:

17478 = 2¹ × 3² × 971¹

Step-2: 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-3: Factors of 17478

List of positive integer factors of 17478 that divides 17478 without a remainder.

1, 2, 3, 6, 9, 18, 971, 1942, 2913, 5826, 8739

Step-4: Factors of 17490

List of positive integer factors of 17490 that divides 17478 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17478 and 17490. The biggest common factor number is the GCF number.
So the greatest common factor 17478 and 17490 is 6.

Also check out the Least Common Multiple of 17478 and 17490