What is the Greatest Common Factor of 8003 and 8022?

Greatest common factor (GCF) of 8003 and 8022 is 1.

GCF(8003,8022) = 1

We will now calculate the prime factors of 8003 and 8022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8003 and 8022.

How to find the GCF of 8003 and 8022?

We will first find the prime factorization of 8003 and 8022. After we will calculate the factors of 8003 and 8022 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 8022

Prime factors of 8022 are 2, 3, 7, 191. Prime factorization of 8022 in exponential form is:

8022 = 2¹ × 3¹ × 7¹ × 191¹

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 8022

List of positive integer factors of 8022 that divides 8003 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 191, 382, 573, 1146, 1337, 2674, 4011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8003 and 8022. The biggest common factor number is the GCF number.
So the greatest common factor 8003 and 8022 is 1.

Also check out the Least Common Multiple of 8003 and 8022