What is the Greatest Common Factor of 23894 and 23900?

Greatest common factor (GCF) of 23894 and 23900 is 2.

GCF(23894,23900) = 2

We will now calculate the prime factors of 23894 and 23900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23894 and 23900.

How to find the GCF of 23894 and 23900?

We will first find the prime factorization of 23894 and 23900. After we will calculate the factors of 23894 and 23900 and find the biggest common factor number .

Step-1: Prime Factorization of 23894

Prime factors of 23894 are 2, 13, 919. Prime factorization of 23894 in exponential form is:

23894 = 2¹ × 13¹ × 919¹

Step-2: Prime Factorization of 23900

Prime factors of 23900 are 2, 5, 239. Prime factorization of 23900 in exponential form is:

23900 = 2² × 5² × 239¹

Step-3: Factors of 23894

List of positive integer factors of 23894 that divides 23894 without a remainder.

1, 2, 13, 26, 919, 1838, 11947

Step-4: Factors of 23900

List of positive integer factors of 23900 that divides 23894 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 239, 478, 956, 1195, 2390, 4780, 5975, 11950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23894 and 23900. The biggest common factor number is the GCF number.
So the greatest common factor 23894 and 23900 is 2.

Also check out the Least Common Multiple of 23894 and 23900