What is the Greatest Common Factor of 59296 and 59311?

Greatest common factor (GCF) of 59296 and 59311 is 1.

GCF(59296,59311) = 1

We will now calculate the prime factors of 59296 and 59311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59296 and 59311.

How to find the GCF of 59296 and 59311?

We will first find the prime factorization of 59296 and 59311. After we will calculate the factors of 59296 and 59311 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 59311

Prime factors of 59311 are 7, 37, 229. Prime factorization of 59311 in exponential form is:

59311 = 7¹ × 37¹ × 229¹

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 59311

List of positive integer factors of 59311 that divides 59296 without a remainder.

1, 7, 37, 229, 259, 1603, 8473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59296 and 59311. The biggest common factor number is the GCF number.
So the greatest common factor 59296 and 59311 is 1.

Also check out the Least Common Multiple of 59296 and 59311