What is the Greatest Common Factor of 9997 and 10016?

Greatest common factor (GCF) of 9997 and 10016 is 1.

GCF(9997,10016) = 1

We will now calculate the prime factors of 9997 and 10016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9997 and 10016.

How to find the GCF of 9997 and 10016?

We will first find the prime factorization of 9997 and 10016. After we will calculate the factors of 9997 and 10016 and find the biggest common factor number .

Step-1: Prime Factorization of 9997

Prime factors of 9997 are 13, 769. Prime factorization of 9997 in exponential form is:

9997 = 13¹ × 769¹

Step-2: Prime Factorization of 10016

Prime factors of 10016 are 2, 313. Prime factorization of 10016 in exponential form is:

10016 = 2⁵ × 313¹

Step-3: Factors of 9997

List of positive integer factors of 9997 that divides 9997 without a remainder.

1, 13, 769

Step-4: Factors of 10016

List of positive integer factors of 10016 that divides 9997 without a remainder.

1, 2, 4, 8, 16, 32, 313, 626, 1252, 2504, 5008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9997 and 10016. The biggest common factor number is the GCF number.
So the greatest common factor 9997 and 10016 is 1.

Also check out the Least Common Multiple of 9997 and 10016