What is the Greatest Common Factor of 16100 and 16110?

Greatest common factor (GCF) of 16100 and 16110 is 10.

GCF(16100,16110) = 10

We will now calculate the prime factors of 16100 and 16110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16100 and 16110.

How to find the GCF of 16100 and 16110?

We will first find the prime factorization of 16100 and 16110. After we will calculate the factors of 16100 and 16110 and find the biggest common factor number .

Step-1: Prime Factorization of 16100

Prime factors of 16100 are 2, 5, 7, 23. Prime factorization of 16100 in exponential form is:

16100 = 2² × 5² × 7¹ × 23¹

Step-2: Prime Factorization of 16110

Prime factors of 16110 are 2, 3, 5, 179. Prime factorization of 16110 in exponential form is:

16110 = 2¹ × 3² × 5¹ × 179¹

Step-3: Factors of 16100

List of positive integer factors of 16100 that divides 16100 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 23, 25, 28, 35, 46, 50, 70, 92, 100, 115, 140, 161, 175, 230, 322, 350, 460, 575, 644, 700, 805, 1150, 1610, 2300, 3220, 4025, 8050

Step-4: Factors of 16110

List of positive integer factors of 16110 that divides 16100 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 179, 358, 537, 895, 1074, 1611, 1790, 2685, 3222, 5370, 8055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16100 and 16110. The biggest common factor number is the GCF number.
So the greatest common factor 16100 and 16110 is 10.

Also check out the Least Common Multiple of 16100 and 16110