What is the Greatest Common Factor of 16100 and 16106?

Greatest common factor (GCF) of 16100 and 16106 is 2.

GCF(16100,16106) = 2

We will now calculate the prime factors of 16100 and 16106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16100 and 16106.

How to find the GCF of 16100 and 16106?

We will first find the prime factorization of 16100 and 16106. After we will calculate the factors of 16100 and 16106 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 16106

Prime factors of 16106 are 2, 8053. Prime factorization of 16106 in exponential form is:

16106 = 2¹ × 8053¹

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 16106

List of positive integer factors of 16106 that divides 16100 without a remainder.

1, 2, 8053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16100 and 16106. The biggest common factor number is the GCF number.
So the greatest common factor 16100 and 16106 is 2.

Also check out the Least Common Multiple of 16100 and 16106