What is the Greatest Common Factor of 23574 and 23592?

Greatest common factor (GCF) of 23574 and 23592 is 6.

GCF(23574,23592) = 6

We will now calculate the prime factors of 23574 and 23592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23574 and 23592.

How to find the GCF of 23574 and 23592?

We will first find the prime factorization of 23574 and 23592. After we will calculate the factors of 23574 and 23592 and find the biggest common factor number .

Step-1: Prime Factorization of 23574

Prime factors of 23574 are 2, 3, 3929. Prime factorization of 23574 in exponential form is:

23574 = 2¹ × 3¹ × 3929¹

Step-2: Prime Factorization of 23592

Prime factors of 23592 are 2, 3, 983. Prime factorization of 23592 in exponential form is:

23592 = 2³ × 3¹ × 983¹

Step-3: Factors of 23574

List of positive integer factors of 23574 that divides 23574 without a remainder.

1, 2, 3, 6, 3929, 7858, 11787

Step-4: Factors of 23592

List of positive integer factors of 23592 that divides 23574 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 983, 1966, 2949, 3932, 5898, 7864, 11796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23574 and 23592. The biggest common factor number is the GCF number.
So the greatest common factor 23574 and 23592 is 6.

Also check out the Least Common Multiple of 23574 and 23592