What is the Greatest Common Factor of 59004 and 59010?

Greatest common factor (GCF) of 59004 and 59010 is 6.

GCF(59004,59010) = 6

We will now calculate the prime factors of 59004 and 59010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59004 and 59010.

How to find the GCF of 59004 and 59010?

We will first find the prime factorization of 59004 and 59010. After we will calculate the factors of 59004 and 59010 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 59010

Prime factors of 59010 are 2, 3, 5, 7, 281. Prime factorization of 59010 in exponential form is:

59010 = 2¹ × 3¹ × 5¹ × 7¹ × 281¹

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 59010

List of positive integer factors of 59010 that divides 59004 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 281, 562, 843, 1405, 1686, 1967, 2810, 3934, 4215, 5901, 8430, 9835, 11802, 19670, 29505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59004 and 59010. The biggest common factor number is the GCF number.
So the greatest common factor 59004 and 59010 is 6.

Also check out the Least Common Multiple of 59004 and 59010