What is the Greatest Common Factor of 16458 and 16470?

Greatest common factor (GCF) of 16458 and 16470 is 6.

GCF(16458,16470) = 6

We will now calculate the prime factors of 16458 and 16470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16458 and 16470.

How to find the GCF of 16458 and 16470?

We will first find the prime factorization of 16458 and 16470. After we will calculate the factors of 16458 and 16470 and find the biggest common factor number .

Step-1: Prime Factorization of 16458

Prime factors of 16458 are 2, 3, 13, 211. Prime factorization of 16458 in exponential form is:

16458 = 2¹ × 3¹ × 13¹ × 211¹

Step-2: 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-3: Factors of 16458

List of positive integer factors of 16458 that divides 16458 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 211, 422, 633, 1266, 2743, 5486, 8229

Step-4: Factors of 16470

List of positive integer factors of 16470 that divides 16458 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16458 and 16470. The biggest common factor number is the GCF number.
So the greatest common factor 16458 and 16470 is 6.

Also check out the Least Common Multiple of 16458 and 16470