What is the Greatest Common Factor of 59478 and 59496?

Greatest common factor (GCF) of 59478 and 59496 is 6.

GCF(59478,59496) = 6

We will now calculate the prime factors of 59478 and 59496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59478 and 59496.

How to find the GCF of 59478 and 59496?

We will first find the prime factorization of 59478 and 59496. After we will calculate the factors of 59478 and 59496 and find the biggest common factor number .

Step-1: Prime Factorization of 59478

Prime factors of 59478 are 2, 3, 23, 431. Prime factorization of 59478 in exponential form is:

59478 = 2¹ × 3¹ × 23¹ × 431¹

Step-2: 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-3: Factors of 59478

List of positive integer factors of 59478 that divides 59478 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 431, 862, 1293, 2586, 9913, 19826, 29739

Step-4: Factors of 59496

List of positive integer factors of 59496 that divides 59478 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59478 and 59496. The biggest common factor number is the GCF number.
So the greatest common factor 59478 and 59496 is 6.

Also check out the Least Common Multiple of 59478 and 59496