What is the Greatest Common Factor of 16600 and 16610?

Greatest common factor (GCF) of 16600 and 16610 is 10.

GCF(16600,16610) = 10

We will now calculate the prime factors of 16600 and 16610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16600 and 16610.

How to find the GCF of 16600 and 16610?

We will first find the prime factorization of 16600 and 16610. After we will calculate the factors of 16600 and 16610 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 16610

Prime factors of 16610 are 2, 5, 11, 151. Prime factorization of 16610 in exponential form is:

16610 = 2¹ × 5¹ × 11¹ × 151¹

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 16610

List of positive integer factors of 16610 that divides 16600 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 151, 302, 755, 1510, 1661, 3322, 8305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16600 and 16610. The biggest common factor number is the GCF number.
So the greatest common factor 16600 and 16610 is 10.

Also check out the Least Common Multiple of 16600 and 16610