What is the Greatest Common Factor of 24372 and 24387?

Greatest common factor (GCF) of 24372 and 24387 is 3.

GCF(24372,24387) = 3

We will now calculate the prime factors of 24372 and 24387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24372 and 24387.

How to find the GCF of 24372 and 24387?

We will first find the prime factorization of 24372 and 24387. After we will calculate the factors of 24372 and 24387 and find the biggest common factor number .

Step-1: Prime Factorization of 24372

Prime factors of 24372 are 2, 3, 677. Prime factorization of 24372 in exponential form is:

24372 = 2² × 3² × 677¹

Step-2: Prime Factorization of 24387

Prime factors of 24387 are 3, 11, 739. Prime factorization of 24387 in exponential form is:

24387 = 3¹ × 11¹ × 739¹

Step-3: Factors of 24372

List of positive integer factors of 24372 that divides 24372 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 677, 1354, 2031, 2708, 4062, 6093, 8124, 12186

Step-4: Factors of 24387

List of positive integer factors of 24387 that divides 24372 without a remainder.

1, 3, 11, 33, 739, 2217, 8129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24372 and 24387. The biggest common factor number is the GCF number.
So the greatest common factor 24372 and 24387 is 3.

Also check out the Least Common Multiple of 24372 and 24387