What is the Greatest Common Factor of 24024 and 24039?

Greatest common factor (GCF) of 24024 and 24039 is 3.

GCF(24024,24039) = 3

We will now calculate the prime factors of 24024 and 24039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24024 and 24039.

How to find the GCF of 24024 and 24039?

We will first find the prime factorization of 24024 and 24039. After we will calculate the factors of 24024 and 24039 and find the biggest common factor number .

Step-1: Prime Factorization of 24024

Prime factors of 24024 are 2, 3, 7, 11, 13. Prime factorization of 24024 in exponential form is:

24024 = 2³ × 3¹ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 24039

Prime factors of 24039 are 3, 2671. Prime factorization of 24039 in exponential form is:

24039 = 3² × 2671¹

Step-3: Factors of 24024

List of positive integer factors of 24024 that divides 24024 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 13, 14, 21, 22, 24, 26, 28, 33, 39, 42, 44, 52, 56, 66, 77, 78, 84, 88, 91, 104, 132, 143, 154, 156, 168, 182, 231, 264, 273, 286, 308, 312, 364, 429, 462, 546, 572, 616, 728, 858, 924, 1001, 1092, 1144, 1716, 1848, 2002, 2184, 3003, 3432, 4004, 6006, 8008, 12012

Step-4: Factors of 24039

List of positive integer factors of 24039 that divides 24024 without a remainder.

1, 3, 9, 2671, 8013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24024 and 24039. The biggest common factor number is the GCF number.
So the greatest common factor 24024 and 24039 is 3.

Also check out the Least Common Multiple of 24024 and 24039