What is the Greatest Common Factor of 23896 and 23904?

Greatest common factor (GCF) of 23896 and 23904 is 8.

GCF(23896,23904) = 8

We will now calculate the prime factors of 23896 and 23904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23896 and 23904.

How to find the GCF of 23896 and 23904?

We will first find the prime factorization of 23896 and 23904. After we will calculate the factors of 23896 and 23904 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23904

Prime factors of 23904 are 2, 3, 83. Prime factorization of 23904 in exponential form is:

23904 = 2⁵ × 3² × 83¹

Step-3: Factors of 23896

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

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

Step-4: Factors of 23904

List of positive integer factors of 23904 that divides 23896 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 83, 96, 144, 166, 249, 288, 332, 498, 664, 747, 996, 1328, 1494, 1992, 2656, 2988, 3984, 5976, 7968, 11952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23896 and 23904. The biggest common factor number is the GCF number.
So the greatest common factor 23896 and 23904 is 8.

Also check out the Least Common Multiple of 23896 and 23904