What is the Greatest Common Factor of 9996 and 10007?

Greatest common factor (GCF) of 9996 and 10007 is 1.

GCF(9996,10007) = 1

We will now calculate the prime factors of 9996 and 10007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9996 and 10007.

How to find the GCF of 9996 and 10007?

We will first find the prime factorization of 9996 and 10007. After we will calculate the factors of 9996 and 10007 and find the biggest common factor number .

Step-1: Prime Factorization of 9996

Prime factors of 9996 are 2, 3, 7, 17. Prime factorization of 9996 in exponential form is:

9996 = 2² × 3¹ × 7² × 17¹

Step-2: Prime Factorization of 10007

Prime factors of 10007 are 10007. Prime factorization of 10007 in exponential form is:

10007 = 10007¹

Step-3: Factors of 9996

List of positive integer factors of 9996 that divides 9996 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998

Step-4: Factors of 10007

List of positive integer factors of 10007 that divides 9996 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9996 and 10007. The biggest common factor number is the GCF number.
So the greatest common factor 9996 and 10007 is 1.

Also check out the Least Common Multiple of 9996 and 10007