What is the Greatest Common Factor of 24072 and 24078?

Greatest common factor (GCF) of 24072 and 24078 is 6.

GCF(24072,24078) = 6

We will now calculate the prime factors of 24072 and 24078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24072 and 24078.

How to find the GCF of 24072 and 24078?

We will first find the prime factorization of 24072 and 24078. After we will calculate the factors of 24072 and 24078 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 24078

Prime factors of 24078 are 2, 3, 4013. Prime factorization of 24078 in exponential form is:

24078 = 2¹ × 3¹ × 4013¹

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 24078

List of positive integer factors of 24078 that divides 24072 without a remainder.

1, 2, 3, 6, 4013, 8026, 12039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24072 and 24078. The biggest common factor number is the GCF number.
So the greatest common factor 24072 and 24078 is 6.

Also check out the Least Common Multiple of 24072 and 24078