GCF and LCM Calculator Logo

What is the Greatest Common Factor of 23007 and 23021?

Greatest common factor (GCF) of 23007 and 23021 is 1.

GCF(23007,23021) = 1

We will now calculate the prime factors of 23007 and 23021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23007 and 23021.

GCF Calculator and
and

How to find the GCF of 23007 and 23021?

We will first find the prime factorization of 23007 and 23021. After we will calculate the factors of 23007 and 23021 and find the biggest common factor number .

Step-1: Prime Factorization of 23007

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

23007 = 31 × 76691

Step-2: Prime Factorization of 23021

Prime factors of 23021 are 23021. Prime factorization of 23021 in exponential form is:

23021 = 230211

Step-3: Factors of 23007

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

1, 3, 7669

Step-4: Factors of 23021

List of positive integer factors of 23021 that divides 23007 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23007 and 23021. The biggest common factor number is the GCF number.
So the greatest common factor 23007 and 23021 is 1.

Also check out the Least Common Multiple of 23007 and 23021