What is the Greatest Common Factor of 59004 and 59024?

Greatest common factor (GCF) of 59004 and 59024 is 4.

GCF(59004,59024) = 4

We will now calculate the prime factors of 59004 and 59024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59004 and 59024.

How to find the GCF of 59004 and 59024?

We will first find the prime factorization of 59004 and 59024. After we will calculate the factors of 59004 and 59024 and find the biggest common factor number .

Step-1: Prime Factorization of 59004

Prime factors of 59004 are 2, 3, 11, 149. Prime factorization of 59004 in exponential form is:

59004 = 2² × 3² × 11¹ × 149¹

Step-2: Prime Factorization of 59024

Prime factors of 59024 are 2, 7, 17, 31. Prime factorization of 59024 in exponential form is:

59024 = 2⁴ × 7¹ × 17¹ × 31¹

Step-3: Factors of 59004

List of positive integer factors of 59004 that divides 59004 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 149, 198, 298, 396, 447, 596, 894, 1341, 1639, 1788, 2682, 3278, 4917, 5364, 6556, 9834, 14751, 19668, 29502

Step-4: Factors of 59024

List of positive integer factors of 59024 that divides 59004 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 31, 34, 56, 62, 68, 112, 119, 124, 136, 217, 238, 248, 272, 434, 476, 496, 527, 868, 952, 1054, 1736, 1904, 2108, 3472, 3689, 4216, 7378, 8432, 14756, 29512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59004 and 59024. The biggest common factor number is the GCF number.
So the greatest common factor 59004 and 59024 is 4.

Also check out the Least Common Multiple of 59004 and 59024