What is the Greatest Common Factor of 59496 and 59508?

Greatest common factor (GCF) of 59496 and 59508 is 12.

GCF(59496,59508) = 12

We will now calculate the prime factors of 59496 and 59508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59496 and 59508.

How to find the GCF of 59496 and 59508?

We will first find the prime factorization of 59496 and 59508. After we will calculate the factors of 59496 and 59508 and find the biggest common factor number .

Step-1: Prime Factorization of 59496

Prime factors of 59496 are 2, 3, 37, 67. Prime factorization of 59496 in exponential form is:

59496 = 2³ × 3¹ × 37¹ × 67¹

Step-2: Prime Factorization of 59508

Prime factors of 59508 are 2, 3, 19, 29. Prime factorization of 59508 in exponential form is:

59508 = 2² × 3³ × 19¹ × 29¹

Step-3: Factors of 59496

List of positive integer factors of 59496 that divides 59496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 67, 74, 111, 134, 148, 201, 222, 268, 296, 402, 444, 536, 804, 888, 1608, 2479, 4958, 7437, 9916, 14874, 19832, 29748

Step-4: Factors of 59508

List of positive integer factors of 59508 that divides 59496 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 29, 36, 38, 54, 57, 58, 76, 87, 108, 114, 116, 171, 174, 228, 261, 342, 348, 513, 522, 551, 684, 783, 1026, 1044, 1102, 1566, 1653, 2052, 2204, 3132, 3306, 4959, 6612, 9918, 14877, 19836, 29754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59496 and 59508. The biggest common factor number is the GCF number.
So the greatest common factor 59496 and 59508 is 12.

Also check out the Least Common Multiple of 59496 and 59508