What is the Greatest Common Factor of 24072 and 24087?

Greatest common factor (GCF) of 24072 and 24087 is 3.

GCF(24072,24087) = 3

We will now calculate the prime factors of 24072 and 24087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24072 and 24087.

How to find the GCF of 24072 and 24087?

We will first find the prime factorization of 24072 and 24087. After we will calculate the factors of 24072 and 24087 and find the biggest common factor number .

Step-1: Prime Factorization of 24072

Prime factors of 24072 are 2, 3, 17, 59. Prime factorization of 24072 in exponential form is:

24072 = 2³ × 3¹ × 17¹ × 59¹

Step-2: Prime Factorization of 24087

Prime factors of 24087 are 3, 7, 31, 37. Prime factorization of 24087 in exponential form is:

24087 = 3¹ × 7¹ × 31¹ × 37¹

Step-3: Factors of 24072

List of positive integer factors of 24072 that divides 24072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 59, 68, 102, 118, 136, 177, 204, 236, 354, 408, 472, 708, 1003, 1416, 2006, 3009, 4012, 6018, 8024, 12036

Step-4: Factors of 24087

List of positive integer factors of 24087 that divides 24072 without a remainder.

1, 3, 7, 21, 31, 37, 93, 111, 217, 259, 651, 777, 1147, 3441, 8029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24072 and 24087. The biggest common factor number is the GCF number.
So the greatest common factor 24072 and 24087 is 3.

Also check out the Least Common Multiple of 24072 and 24087