What is the Greatest Common Factor of 15995 and 16005?

Greatest common factor (GCF) of 15995 and 16005 is 5.

GCF(15995,16005) = 5

We will now calculate the prime factors of 15995 and 16005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15995 and 16005.

How to find the GCF of 15995 and 16005?

We will first find the prime factorization of 15995 and 16005. After we will calculate the factors of 15995 and 16005 and find the biggest common factor number .

Step-1: Prime Factorization of 15995

Prime factors of 15995 are 5, 7, 457. Prime factorization of 15995 in exponential form is:

15995 = 5¹ × 7¹ × 457¹

Step-2: Prime Factorization of 16005

Prime factors of 16005 are 3, 5, 11, 97. Prime factorization of 16005 in exponential form is:

16005 = 3¹ × 5¹ × 11¹ × 97¹

Step-3: Factors of 15995

List of positive integer factors of 15995 that divides 15995 without a remainder.

1, 5, 7, 35, 457, 2285, 3199

Step-4: Factors of 16005

List of positive integer factors of 16005 that divides 15995 without a remainder.

1, 3, 5, 11, 15, 33, 55, 97, 165, 291, 485, 1067, 1455, 3201, 5335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15995 and 16005. The biggest common factor number is the GCF number.
So the greatest common factor 15995 and 16005 is 5.

Also check out the Least Common Multiple of 15995 and 16005