What is the Greatest Common Factor of 59296 and 59301?

Greatest common factor (GCF) of 59296 and 59301 is 1.

GCF(59296,59301) = 1

We will now calculate the prime factors of 59296 and 59301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59296 and 59301.

How to find the GCF of 59296 and 59301?

We will first find the prime factorization of 59296 and 59301. After we will calculate the factors of 59296 and 59301 and find the biggest common factor number .

Step-1: Prime Factorization of 59296

Prime factors of 59296 are 2, 17, 109. Prime factorization of 59296 in exponential form is:

59296 = 2⁵ × 17¹ × 109¹

Step-2: Prime Factorization of 59301

Prime factors of 59301 are 3, 11, 599. Prime factorization of 59301 in exponential form is:

59301 = 3² × 11¹ × 599¹

Step-3: Factors of 59296

List of positive integer factors of 59296 that divides 59296 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 109, 136, 218, 272, 436, 544, 872, 1744, 1853, 3488, 3706, 7412, 14824, 29648

Step-4: Factors of 59301

List of positive integer factors of 59301 that divides 59296 without a remainder.

1, 3, 9, 11, 33, 99, 599, 1797, 5391, 6589, 19767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59296 and 59301. The biggest common factor number is the GCF number.
So the greatest common factor 59296 and 59301 is 1.

Also check out the Least Common Multiple of 59296 and 59301