What is the Greatest Common Factor of 59312 and 59328?

Greatest common factor (GCF) of 59312 and 59328 is 16.

GCF(59312,59328) = 16

We will now calculate the prime factors of 59312 and 59328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59312 and 59328.

How to find the GCF of 59312 and 59328?

We will first find the prime factorization of 59312 and 59328. After we will calculate the factors of 59312 and 59328 and find the biggest common factor number .

Step-1: Prime Factorization of 59312

Prime factors of 59312 are 2, 11, 337. Prime factorization of 59312 in exponential form is:

59312 = 2⁴ × 11¹ × 337¹

Step-2: 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-3: Factors of 59312

List of positive integer factors of 59312 that divides 59312 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 337, 674, 1348, 2696, 3707, 5392, 7414, 14828, 29656

Step-4: Factors of 59328

List of positive integer factors of 59328 that divides 59312 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59312 and 59328. The biggest common factor number is the GCF number.
So the greatest common factor 59312 and 59328 is 16.

Also check out the Least Common Multiple of 59312 and 59328