What is the Greatest Common Factor of 24055 and 24072?

Greatest common factor (GCF) of 24055 and 24072 is 17.

GCF(24055,24072) = 17

We will now calculate the prime factors of 24055 and 24072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24055 and 24072.

How to find the GCF of 24055 and 24072?

We will first find the prime factorization of 24055 and 24072. After we will calculate the factors of 24055 and 24072 and find the biggest common factor number .

Step-1: Prime Factorization of 24055

Prime factors of 24055 are 5, 17, 283. Prime factorization of 24055 in exponential form is:

24055 = 5¹ × 17¹ × 283¹

Step-2: 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-3: Factors of 24055

List of positive integer factors of 24055 that divides 24055 without a remainder.

1, 5, 17, 85, 283, 1415, 4811

Step-4: Factors of 24072

List of positive integer factors of 24072 that divides 24055 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24055 and 24072. The biggest common factor number is the GCF number.
So the greatest common factor 24055 and 24072 is 17.

Also check out the Least Common Multiple of 24055 and 24072