What is the Greatest Common Factor of 8003 and 8007?

Greatest common factor (GCF) of 8003 and 8007 is 1.

GCF(8003,8007) = 1

We will now calculate the prime factors of 8003 and 8007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8003 and 8007.

How to find the GCF of 8003 and 8007?

We will first find the prime factorization of 8003 and 8007. After we will calculate the factors of 8003 and 8007 and find the biggest common factor number .

Step-1: Prime Factorization of 8003

Prime factors of 8003 are 53, 151. Prime factorization of 8003 in exponential form is:

8003 = 53¹ × 151¹

Step-2: Prime Factorization of 8007

Prime factors of 8007 are 3, 17, 157. Prime factorization of 8007 in exponential form is:

8007 = 3¹ × 17¹ × 157¹

Step-3: Factors of 8003

List of positive integer factors of 8003 that divides 8003 without a remainder.

1, 53, 151

Step-4: Factors of 8007

List of positive integer factors of 8007 that divides 8003 without a remainder.

1, 3, 17, 51, 157, 471, 2669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8003 and 8007. The biggest common factor number is the GCF number.
So the greatest common factor 8003 and 8007 is 1.

Also check out the Least Common Multiple of 8003 and 8007