What is the Greatest Common Factor of 23884 and 23889?

Greatest common factor (GCF) of 23884 and 23889 is 1.

GCF(23884,23889) = 1

We will now calculate the prime factors of 23884 and 23889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23884 and 23889.

How to find the GCF of 23884 and 23889?

We will first find the prime factorization of 23884 and 23889. After we will calculate the factors of 23884 and 23889 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 23889

Prime factors of 23889 are 3, 7963. Prime factorization of 23889 in exponential form is:

23889 = 3¹ × 7963¹

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 23889

List of positive integer factors of 23889 that divides 23884 without a remainder.

1, 3, 7963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23884 and 23889. The biggest common factor number is the GCF number.
So the greatest common factor 23884 and 23889 is 1.

Also check out the Least Common Multiple of 23884 and 23889