What is the Greatest Common Factor of 59296 and 59313?

Greatest common factor (GCF) of 59296 and 59313 is 17.

GCF(59296,59313) = 17

We will now calculate the prime factors of 59296 and 59313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59296 and 59313.

How to find the GCF of 59296 and 59313?

We will first find the prime factorization of 59296 and 59313. After we will calculate the factors of 59296 and 59313 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 59313

Prime factors of 59313 are 3, 17, 1163. Prime factorization of 59313 in exponential form is:

59313 = 3¹ × 17¹ × 1163¹

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 59313

List of positive integer factors of 59313 that divides 59296 without a remainder.

1, 3, 17, 51, 1163, 3489, 19771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59296 and 59313. The biggest common factor number is the GCF number.
So the greatest common factor 59296 and 59313 is 17.

Also check out the Least Common Multiple of 59296 and 59313