What is the Greatest Common Factor of 16100 and 16112?

Greatest common factor (GCF) of 16100 and 16112 is 4.

GCF(16100,16112) = 4

We will now calculate the prime factors of 16100 and 16112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16100 and 16112.

How to find the GCF of 16100 and 16112?

We will first find the prime factorization of 16100 and 16112. After we will calculate the factors of 16100 and 16112 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 16112

Prime factors of 16112 are 2, 19, 53. Prime factorization of 16112 in exponential form is:

16112 = 2⁴ × 19¹ × 53¹

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 16112

List of positive integer factors of 16112 that divides 16100 without a remainder.

1, 2, 4, 8, 16, 19, 38, 53, 76, 106, 152, 212, 304, 424, 848, 1007, 2014, 4028, 8056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16100 and 16112. The biggest common factor number is the GCF number.
So the greatest common factor 16100 and 16112 is 4.

Also check out the Least Common Multiple of 16100 and 16112