What is the Greatest Common Factor of 16473 and 16490?

Greatest common factor (GCF) of 16473 and 16490 is 17.

GCF(16473,16490) = 17

We will now calculate the prime factors of 16473 and 16490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16473 and 16490.

How to find the GCF of 16473 and 16490?

We will first find the prime factorization of 16473 and 16490. After we will calculate the factors of 16473 and 16490 and find the biggest common factor number .

Step-1: Prime Factorization of 16473

Prime factors of 16473 are 3, 17, 19. Prime factorization of 16473 in exponential form is:

16473 = 3¹ × 17² × 19¹

Step-2: Prime Factorization of 16490

Prime factors of 16490 are 2, 5, 17, 97. Prime factorization of 16490 in exponential form is:

16490 = 2¹ × 5¹ × 17¹ × 97¹

Step-3: Factors of 16473

List of positive integer factors of 16473 that divides 16473 without a remainder.

1, 3, 17, 19, 51, 57, 289, 323, 867, 969, 5491

Step-4: Factors of 16490

List of positive integer factors of 16490 that divides 16473 without a remainder.

1, 2, 5, 10, 17, 34, 85, 97, 170, 194, 485, 970, 1649, 3298, 8245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16473 and 16490. The biggest common factor number is the GCF number.
So the greatest common factor 16473 and 16490 is 17.

Also check out the Least Common Multiple of 16473 and 16490