What is the Greatest Common Factor of 8003 and 8008?

Greatest common factor (GCF) of 8003 and 8008 is 1.

GCF(8003,8008) = 1

We will now calculate the prime factors of 8003 and 8008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8003 and 8008.

How to find the GCF of 8003 and 8008?

We will first find the prime factorization of 8003 and 8008. After we will calculate the factors of 8003 and 8008 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 8008

Prime factors of 8008 are 2, 7, 11, 13. Prime factorization of 8008 in exponential form is:

8008 = 2³ × 7¹ × 11¹ × 13¹

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 8008

List of positive integer factors of 8008 that divides 8003 without a remainder.

1, 2, 4, 7, 8, 11, 13, 14, 22, 26, 28, 44, 52, 56, 77, 88, 91, 104, 143, 154, 182, 286, 308, 364, 572, 616, 728, 1001, 1144, 2002, 4004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8003 and 8008. The biggest common factor number is the GCF number.
So the greatest common factor 8003 and 8008 is 1.

Also check out the Least Common Multiple of 8003 and 8008