What is the Greatest Common Factor of 23896 and 23902?

Greatest common factor (GCF) of 23896 and 23902 is 2.

GCF(23896,23902) = 2

We will now calculate the prime factors of 23896 and 23902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23896 and 23902.

How to find the GCF of 23896 and 23902?

We will first find the prime factorization of 23896 and 23902. After we will calculate the factors of 23896 and 23902 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 23902

Prime factors of 23902 are 2, 17, 19, 37. Prime factorization of 23902 in exponential form is:

23902 = 2¹ × 17¹ × 19¹ × 37¹

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 23902

List of positive integer factors of 23902 that divides 23896 without a remainder.

1, 2, 17, 19, 34, 37, 38, 74, 323, 629, 646, 703, 1258, 1406, 11951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23896 and 23902. The biggest common factor number is the GCF number.
So the greatest common factor 23896 and 23902 is 2.

Also check out the Least Common Multiple of 23896 and 23902