What is the Greatest Common Factor of 23864 and 23874?

Greatest common factor (GCF) of 23864 and 23874 is 2.

GCF(23864,23874) = 2

We will now calculate the prime factors of 23864 and 23874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23864 and 23874.

How to find the GCF of 23864 and 23874?

We will first find the prime factorization of 23864 and 23874. After we will calculate the factors of 23864 and 23874 and find the biggest common factor number .

Step-1: Prime Factorization of 23864

Prime factors of 23864 are 2, 19, 157. Prime factorization of 23864 in exponential form is:

23864 = 2³ × 19¹ × 157¹

Step-2: 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-3: Factors of 23864

List of positive integer factors of 23864 that divides 23864 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 157, 314, 628, 1256, 2983, 5966, 11932

Step-4: Factors of 23874

List of positive integer factors of 23874 that divides 23864 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23864 and 23874. The biggest common factor number is the GCF number.
So the greatest common factor 23864 and 23874 is 2.

Also check out the Least Common Multiple of 23864 and 23874