GCF and LCM Calculator Logo

What is the Greatest Common Factor of 23827 and 23843?

Greatest common factor (GCF) of 23827 and 23843 is 1.

GCF(23827,23843) = 1

We will now calculate the prime factors of 23827 and 23843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23827 and 23843.

GCF Calculator and
and

How to find the GCF of 23827 and 23843?

We will first find the prime factorization of 23827 and 23843. After we will calculate the factors of 23827 and 23843 and find the biggest common factor number .

Step-1: Prime Factorization of 23827

Prime factors of 23827 are 23827. Prime factorization of 23827 in exponential form is:

23827 = 238271

Step-2: Prime Factorization of 23843

Prime factors of 23843 are 113, 211. Prime factorization of 23843 in exponential form is:

23843 = 1131 × 2111

Step-3: Factors of 23827

List of positive integer factors of 23827 that divides 23827 without a remainder.

1

Step-4: Factors of 23843

List of positive integer factors of 23843 that divides 23827 without a remainder.

1, 113, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23827 and 23843. The biggest common factor number is the GCF number.
So the greatest common factor 23827 and 23843 is 1.

Also check out the Least Common Multiple of 23827 and 23843