What is the Greatest Common Factor of 23888 and 23894?

Greatest common factor (GCF) of 23888 and 23894 is 2.

GCF(23888,23894) = 2

We will now calculate the prime factors of 23888 and 23894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23888 and 23894.

How to find the GCF of 23888 and 23894?

We will first find the prime factorization of 23888 and 23894. After we will calculate the factors of 23888 and 23894 and find the biggest common factor number .

Step-1: Prime Factorization of 23888

Prime factors of 23888 are 2, 1493. Prime factorization of 23888 in exponential form is:

23888 = 2⁴ × 1493¹

Step-2: 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-3: Factors of 23888

List of positive integer factors of 23888 that divides 23888 without a remainder.

1, 2, 4, 8, 16, 1493, 2986, 5972, 11944

Step-4: Factors of 23894

List of positive integer factors of 23894 that divides 23888 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23888 and 23894. The biggest common factor number is the GCF number.
So the greatest common factor 23888 and 23894 is 2.

Also check out the Least Common Multiple of 23888 and 23894