What is the Greatest Common Factor of 59296 and 59309?

Greatest common factor (GCF) of 59296 and 59309 is 1.

GCF(59296,59309) = 1

We will now calculate the prime factors of 59296 and 59309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59296 and 59309.

How to find the GCF of 59296 and 59309?

We will first find the prime factorization of 59296 and 59309. After we will calculate the factors of 59296 and 59309 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 59309

Prime factors of 59309 are 127, 467. Prime factorization of 59309 in exponential form is:

59309 = 127¹ × 467¹

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 59309

List of positive integer factors of 59309 that divides 59296 without a remainder.

1, 127, 467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59296 and 59309. The biggest common factor number is the GCF number.
So the greatest common factor 59296 and 59309 is 1.

Also check out the Least Common Multiple of 59296 and 59309