What is the Greatest Common Factor of 23884 and 23891?

Greatest common factor (GCF) of 23884 and 23891 is 7.

GCF(23884,23891) = 7

We will now calculate the prime factors of 23884 and 23891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23884 and 23891.

How to find the GCF of 23884 and 23891?

We will first find the prime factorization of 23884 and 23891. After we will calculate the factors of 23884 and 23891 and find the biggest common factor number .

Step-1: Prime Factorization of 23884

Prime factors of 23884 are 2, 7, 853. Prime factorization of 23884 in exponential form is:

23884 = 2² × 7¹ × 853¹

Step-2: Prime Factorization of 23891

Prime factors of 23891 are 7, 3413. Prime factorization of 23891 in exponential form is:

23891 = 7¹ × 3413¹

Step-3: Factors of 23884

List of positive integer factors of 23884 that divides 23884 without a remainder.

1, 2, 4, 7, 14, 28, 853, 1706, 3412, 5971, 11942

Step-4: Factors of 23891

List of positive integer factors of 23891 that divides 23884 without a remainder.

1, 7, 3413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23884 and 23891. The biggest common factor number is the GCF number.
So the greatest common factor 23884 and 23891 is 7.

Also check out the Least Common Multiple of 23884 and 23891