What is the Greatest Common Factor of 32001 and 32008?

Greatest common factor (GCF) of 32001 and 32008 is 1.

GCF(32001,32008) = 1

We will now calculate the prime factors of 32001 and 32008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32001 and 32008.

How to find the GCF of 32001 and 32008?

We will first find the prime factorization of 32001 and 32008. After we will calculate the factors of 32001 and 32008 and find the biggest common factor number .

Step-1: Prime Factorization of 32001

Prime factors of 32001 are 3, 10667. Prime factorization of 32001 in exponential form is:

32001 = 3¹ × 10667¹

Step-2: Prime Factorization of 32008

Prime factors of 32008 are 2, 4001. Prime factorization of 32008 in exponential form is:

32008 = 2³ × 4001¹

Step-3: Factors of 32001

List of positive integer factors of 32001 that divides 32001 without a remainder.

1, 3, 10667

Step-4: Factors of 32008

List of positive integer factors of 32008 that divides 32001 without a remainder.

1, 2, 4, 8, 4001, 8002, 16004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32001 and 32008. The biggest common factor number is the GCF number.
So the greatest common factor 32001 and 32008 is 1.

Also check out the Least Common Multiple of 32001 and 32008