What is the Greatest Common Factor of 16094 and 16100?

Greatest common factor (GCF) of 16094 and 16100 is 2.

GCF(16094,16100) = 2

We will now calculate the prime factors of 16094 and 16100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16094 and 16100.

How to find the GCF of 16094 and 16100?

We will first find the prime factorization of 16094 and 16100. After we will calculate the factors of 16094 and 16100 and find the biggest common factor number .

Step-1: Prime Factorization of 16094

Prime factors of 16094 are 2, 13, 619. Prime factorization of 16094 in exponential form is:

16094 = 2¹ × 13¹ × 619¹

Step-2: 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-3: Factors of 16094

List of positive integer factors of 16094 that divides 16094 without a remainder.

1, 2, 13, 26, 619, 1238, 8047

Step-4: Factors of 16100

List of positive integer factors of 16100 that divides 16094 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16094 and 16100. The biggest common factor number is the GCF number.
So the greatest common factor 16094 and 16100 is 2.

Also check out the Least Common Multiple of 16094 and 16100