What is the Greatest Common Factor of 16470 and 16490?

Greatest common factor (GCF) of 16470 and 16490 is 10.

GCF(16470,16490) = 10

We will now calculate the prime factors of 16470 and 16490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16470 and 16490.

How to find the GCF of 16470 and 16490?

We will first find the prime factorization of 16470 and 16490. After we will calculate the factors of 16470 and 16490 and find the biggest common factor number .

Step-1: Prime Factorization of 16470

Prime factors of 16470 are 2, 3, 5, 61. Prime factorization of 16470 in exponential form is:

16470 = 2¹ × 3³ × 5¹ × 61¹

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 16470

List of positive integer factors of 16470 that divides 16470 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 61, 90, 122, 135, 183, 270, 305, 366, 549, 610, 915, 1098, 1647, 1830, 2745, 3294, 5490, 8235

Step-4: Factors of 16490

List of positive integer factors of 16490 that divides 16470 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 16470 and 16490. The biggest common factor number is the GCF number.
So the greatest common factor 16470 and 16490 is 10.

Also check out the Least Common Multiple of 16470 and 16490