What is the Greatest Common Factor of 24024 and 24031?

Greatest common factor (GCF) of 24024 and 24031 is 7.

GCF(24024,24031) = 7

We will now calculate the prime factors of 24024 and 24031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24024 and 24031.

How to find the GCF of 24024 and 24031?

We will first find the prime factorization of 24024 and 24031. After we will calculate the factors of 24024 and 24031 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 24031

Prime factors of 24031 are 7, 3433. Prime factorization of 24031 in exponential form is:

24031 = 7¹ × 3433¹

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 24031

List of positive integer factors of 24031 that divides 24024 without a remainder.

1, 7, 3433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24024 and 24031. The biggest common factor number is the GCF number.
So the greatest common factor 24024 and 24031 is 7.

Also check out the Least Common Multiple of 24024 and 24031