What is the Greatest Common Factor of 4000 and 4007?

Greatest common factor (GCF) of 4000 and 4007 is 1.

GCF(4000,4007) = 1

We will now calculate the prime factors of 4000 and 4007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4000 and 4007.

How to find the GCF of 4000 and 4007?

We will first find the prime factorization of 4000 and 4007. After we will calculate the factors of 4000 and 4007 and find the biggest common factor number .

Step-1: Prime Factorization of 4000

Prime factors of 4000 are 2, 5. Prime factorization of 4000 in exponential form is:

4000 = 2⁵ × 5³

Step-2: Prime Factorization of 4007

Prime factors of 4007 are 4007. Prime factorization of 4007 in exponential form is:

4007 = 4007¹

Step-3: Factors of 4000

List of positive integer factors of 4000 that divides 4000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000

Step-4: Factors of 4007

List of positive integer factors of 4007 that divides 4000 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4000 and 4007. The biggest common factor number is the GCF number.
So the greatest common factor 4000 and 4007 is 1.

Also check out the Least Common Multiple of 4000 and 4007