What is the Greatest Common Factor of 23874 and 23888?

Greatest common factor (GCF) of 23874 and 23888 is 2.

GCF(23874,23888) = 2

We will now calculate the prime factors of 23874 and 23888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23874 and 23888.

How to find the GCF of 23874 and 23888?

We will first find the prime factorization of 23874 and 23888. After we will calculate the factors of 23874 and 23888 and find the biggest common factor number .

Step-1: Prime Factorization of 23874

Prime factors of 23874 are 2, 3, 23, 173. Prime factorization of 23874 in exponential form is:

23874 = 2¹ × 3¹ × 23¹ × 173¹

Step-2: Prime Factorization of 23888

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

23888 = 2⁴ × 1493¹

Step-3: Factors of 23874

List of positive integer factors of 23874 that divides 23874 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 173, 346, 519, 1038, 3979, 7958, 11937

Step-4: Factors of 23888

List of positive integer factors of 23888 that divides 23874 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23874 and 23888. The biggest common factor number is the GCF number.
So the greatest common factor 23874 and 23888 is 2.

Also check out the Least Common Multiple of 23874 and 23888