What is the Greatest Common Factor of 15994 and 16006?

Greatest common factor (GCF) of 15994 and 16006 is 2.

GCF(15994,16006) = 2

We will now calculate the prime factors of 15994 and 16006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15994 and 16006.

How to find the GCF of 15994 and 16006?

We will first find the prime factorization of 15994 and 16006. After we will calculate the factors of 15994 and 16006 and find the biggest common factor number .

Step-1: Prime Factorization of 15994

Prime factors of 15994 are 2, 11, 727. Prime factorization of 15994 in exponential form is:

15994 = 2¹ × 11¹ × 727¹

Step-2: Prime Factorization of 16006

Prime factors of 16006 are 2, 53, 151. Prime factorization of 16006 in exponential form is:

16006 = 2¹ × 53¹ × 151¹

Step-3: Factors of 15994

List of positive integer factors of 15994 that divides 15994 without a remainder.

1, 2, 11, 22, 727, 1454, 7997

Step-4: Factors of 16006

List of positive integer factors of 16006 that divides 15994 without a remainder.

1, 2, 53, 106, 151, 302, 8003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15994 and 16006. The biggest common factor number is the GCF number.
So the greatest common factor 15994 and 16006 is 2.

Also check out the Least Common Multiple of 15994 and 16006