What is the Greatest Common Factor of 8006 and 8024?

Greatest common factor (GCF) of 8006 and 8024 is 2.

GCF(8006,8024) = 2

We will now calculate the prime factors of 8006 and 8024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8006 and 8024.

How to find the GCF of 8006 and 8024?

We will first find the prime factorization of 8006 and 8024. After we will calculate the factors of 8006 and 8024 and find the biggest common factor number .

Step-1: Prime Factorization of 8006

Prime factors of 8006 are 2, 4003. Prime factorization of 8006 in exponential form is:

8006 = 2¹ × 4003¹

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 8006

List of positive integer factors of 8006 that divides 8006 without a remainder.

1, 2, 4003

Step-4: Factors of 8024

List of positive integer factors of 8024 that divides 8006 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 8006 and 8024. The biggest common factor number is the GCF number.
So the greatest common factor 8006 and 8024 is 2.

Also check out the Least Common Multiple of 8006 and 8024