What is the Greatest Common Factor of 23874 and 23892?

Greatest common factor (GCF) of 23874 and 23892 is 6.

GCF(23874,23892) = 6

We will now calculate the prime factors of 23874 and 23892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23874 and 23892.

How to find the GCF of 23874 and 23892?

We will first find the prime factorization of 23874 and 23892. After we will calculate the factors of 23874 and 23892 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 23892

Prime factors of 23892 are 2, 3, 11, 181. Prime factorization of 23892 in exponential form is:

23892 = 2² × 3¹ × 11¹ × 181¹

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 23892

List of positive integer factors of 23892 that divides 23874 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 181, 362, 543, 724, 1086, 1991, 2172, 3982, 5973, 7964, 11946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23874 and 23892. The biggest common factor number is the GCF number.
So the greatest common factor 23874 and 23892 is 6.

Also check out the Least Common Multiple of 23874 and 23892