What is the Greatest Common Factor of 59328 and 59342?

Greatest common factor (GCF) of 59328 and 59342 is 2.

GCF(59328,59342) = 2

We will now calculate the prime factors of 59328 and 59342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59328 and 59342.

How to find the GCF of 59328 and 59342?

We will first find the prime factorization of 59328 and 59342. After we will calculate the factors of 59328 and 59342 and find the biggest common factor number .

Step-1: Prime Factorization of 59328

Prime factors of 59328 are 2, 3, 103. Prime factorization of 59328 in exponential form is:

59328 = 2⁶ × 3² × 103¹

Step-2: Prime Factorization of 59342

Prime factors of 59342 are 2, 29671. Prime factorization of 59342 in exponential form is:

59342 = 2¹ × 29671¹

Step-3: Factors of 59328

List of positive integer factors of 59328 that divides 59328 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 103, 144, 192, 206, 288, 309, 412, 576, 618, 824, 927, 1236, 1648, 1854, 2472, 3296, 3708, 4944, 6592, 7416, 9888, 14832, 19776, 29664

Step-4: Factors of 59342

List of positive integer factors of 59342 that divides 59328 without a remainder.

1, 2, 29671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59328 and 59342. The biggest common factor number is the GCF number.
So the greatest common factor 59328 and 59342 is 2.

Also check out the Least Common Multiple of 59328 and 59342