What is the Greatest Common Factor of 59284 and 59296?

Greatest common factor (GCF) of 59284 and 59296 is 4.

GCF(59284,59296) = 4

We will now calculate the prime factors of 59284 and 59296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59284 and 59296.

How to find the GCF of 59284 and 59296?

We will first find the prime factorization of 59284 and 59296. After we will calculate the factors of 59284 and 59296 and find the biggest common factor number .

Step-1: Prime Factorization of 59284

Prime factors of 59284 are 2, 14821. Prime factorization of 59284 in exponential form is:

59284 = 2² × 14821¹

Step-2: 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-3: Factors of 59284

List of positive integer factors of 59284 that divides 59284 without a remainder.

1, 2, 4, 14821, 29642

Step-4: Factors of 59296

List of positive integer factors of 59296 that divides 59284 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59284 and 59296. The biggest common factor number is the GCF number.
So the greatest common factor 59284 and 59296 is 4.

Also check out the Least Common Multiple of 59284 and 59296