What is the Greatest Common Factor of 59314 and 59328?

Greatest common factor (GCF) of 59314 and 59328 is 2.

GCF(59314,59328) = 2

We will now calculate the prime factors of 59314 and 59328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59314 and 59328.

How to find the GCF of 59314 and 59328?

We will first find the prime factorization of 59314 and 59328. After we will calculate the factors of 59314 and 59328 and find the biggest common factor number .

Step-1: Prime Factorization of 59314

Prime factors of 59314 are 2, 47, 631. Prime factorization of 59314 in exponential form is:

59314 = 2¹ × 47¹ × 631¹

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 59314

List of positive integer factors of 59314 that divides 59314 without a remainder.

1, 2, 47, 94, 631, 1262, 29657

Step-4: Factors of 59328

List of positive integer factors of 59328 that divides 59314 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 59314 and 59328. The biggest common factor number is the GCF number.
So the greatest common factor 59314 and 59328 is 2.

Also check out the Least Common Multiple of 59314 and 59328