What is the Greatest Common Factor of 23884 and 23896?

Greatest common factor (GCF) of 23884 and 23896 is 4.

GCF(23884,23896) = 4

We will now calculate the prime factors of 23884 and 23896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23884 and 23896.

How to find the GCF of 23884 and 23896?

We will first find the prime factorization of 23884 and 23896. After we will calculate the factors of 23884 and 23896 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 23896

Prime factors of 23896 are 2, 29, 103. Prime factorization of 23896 in exponential form is:

23896 = 2³ × 29¹ × 103¹

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 23896

List of positive integer factors of 23896 that divides 23884 without a remainder.

1, 2, 4, 8, 29, 58, 103, 116, 206, 232, 412, 824, 2987, 5974, 11948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23884 and 23896. The biggest common factor number is the GCF number.
So the greatest common factor 23884 and 23896 is 4.

Also check out the Least Common Multiple of 23884 and 23896