What is the Greatest Common Factor of 23000 and 23007?

Greatest common factor (GCF) of 23000 and 23007 is 1.

GCF(23000,23007) = 1

We will now calculate the prime factors of 23000 and 23007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23000 and 23007.

How to find the GCF of 23000 and 23007?

We will first find the prime factorization of 23000 and 23007. After we will calculate the factors of 23000 and 23007 and find the biggest common factor number .

Step-1: Prime Factorization of 23000

Prime factors of 23000 are 2, 5, 23. Prime factorization of 23000 in exponential form is:

23000 = 2³ × 5³ × 23¹

Step-2: Prime Factorization of 23007

Prime factors of 23007 are 3, 7669. Prime factorization of 23007 in exponential form is:

23007 = 3¹ × 7669¹

Step-3: Factors of 23000

List of positive integer factors of 23000 that divides 23000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 125, 184, 200, 230, 250, 460, 500, 575, 920, 1000, 1150, 2300, 2875, 4600, 5750, 11500

Step-4: Factors of 23007

List of positive integer factors of 23007 that divides 23000 without a remainder.

1, 3, 7669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23000 and 23007. The biggest common factor number is the GCF number.
So the greatest common factor 23000 and 23007 is 1.

Also check out the Least Common Multiple of 23000 and 23007