What is the Greatest Common Factor of 24024 and 24042?

Greatest common factor (GCF) of 24024 and 24042 is 6.

GCF(24024,24042) = 6

We will now calculate the prime factors of 24024 and 24042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24024 and 24042.

How to find the GCF of 24024 and 24042?

We will first find the prime factorization of 24024 and 24042. After we will calculate the factors of 24024 and 24042 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 24042

Prime factors of 24042 are 2, 3, 4007. Prime factorization of 24042 in exponential form is:

24042 = 2¹ × 3¹ × 4007¹

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 24042

List of positive integer factors of 24042 that divides 24024 without a remainder.

1, 2, 3, 6, 4007, 8014, 12021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24024 and 24042. The biggest common factor number is the GCF number.
So the greatest common factor 24024 and 24042 is 6.

Also check out the Least Common Multiple of 24024 and 24042