What is the Greatest Common Factor of 16470 and 16475?

Greatest common factor (GCF) of 16470 and 16475 is 5.

GCF(16470,16475) = 5

We will now calculate the prime factors of 16470 and 16475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16470 and 16475.

How to find the GCF of 16470 and 16475?

We will first find the prime factorization of 16470 and 16475. After we will calculate the factors of 16470 and 16475 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 16475

Prime factors of 16475 are 5, 659. Prime factorization of 16475 in exponential form is:

16475 = 5² × 659¹

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 16475

List of positive integer factors of 16475 that divides 16470 without a remainder.

1, 5, 25, 659, 3295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16470 and 16475. The biggest common factor number is the GCF number.
So the greatest common factor 16470 and 16475 is 5.

Also check out the Least Common Multiple of 16470 and 16475