What is the Greatest Common Factor of 16600 and 16618?

Greatest common factor (GCF) of 16600 and 16618 is 2.

GCF(16600,16618) = 2

We will now calculate the prime factors of 16600 and 16618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16600 and 16618.

How to find the GCF of 16600 and 16618?

We will first find the prime factorization of 16600 and 16618. After we will calculate the factors of 16600 and 16618 and find the biggest common factor number .

Step-1: Prime Factorization of 16600

Prime factors of 16600 are 2, 5, 83. Prime factorization of 16600 in exponential form is:

16600 = 2³ × 5² × 83¹

Step-2: Prime Factorization of 16618

Prime factors of 16618 are 2, 7, 1187. Prime factorization of 16618 in exponential form is:

16618 = 2¹ × 7¹ × 1187¹

Step-3: Factors of 16600

List of positive integer factors of 16600 that divides 16600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 83, 100, 166, 200, 332, 415, 664, 830, 1660, 2075, 3320, 4150, 8300

Step-4: Factors of 16618

List of positive integer factors of 16618 that divides 16600 without a remainder.

1, 2, 7, 14, 1187, 2374, 8309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16600 and 16618. The biggest common factor number is the GCF number.
So the greatest common factor 16600 and 16618 is 2.

Also check out the Least Common Multiple of 16600 and 16618