What is the Greatest Common Factor of 8005 and 8024?

Greatest common factor (GCF) of 8005 and 8024 is 1.

GCF(8005,8024) = 1

We will now calculate the prime factors of 8005 and 8024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8005 and 8024.

How to find the GCF of 8005 and 8024?

We will first find the prime factorization of 8005 and 8024. After we will calculate the factors of 8005 and 8024 and find the biggest common factor number .

Step-1: Prime Factorization of 8005

Prime factors of 8005 are 5, 1601. Prime factorization of 8005 in exponential form is:

8005 = 5¹ × 1601¹

Step-2: Prime Factorization of 8024

Prime factors of 8024 are 2, 17, 59. Prime factorization of 8024 in exponential form is:

8024 = 2³ × 17¹ × 59¹

Step-3: Factors of 8005

List of positive integer factors of 8005 that divides 8005 without a remainder.

1, 5, 1601

Step-4: Factors of 8024

List of positive integer factors of 8024 that divides 8005 without a remainder.

1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8005 and 8024. The biggest common factor number is the GCF number.
So the greatest common factor 8005 and 8024 is 1.

Also check out the Least Common Multiple of 8005 and 8024