What is the Greatest Common Factor of 59296 and 59310?

Greatest common factor (GCF) of 59296 and 59310 is 2.

GCF(59296,59310) = 2

We will now calculate the prime factors of 59296 and 59310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59296 and 59310.

How to find the GCF of 59296 and 59310?

We will first find the prime factorization of 59296 and 59310. After we will calculate the factors of 59296 and 59310 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 59310

Prime factors of 59310 are 2, 3, 5, 659. Prime factorization of 59310 in exponential form is:

59310 = 2¹ × 3² × 5¹ × 659¹

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 59310

List of positive integer factors of 59310 that divides 59296 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 659, 1318, 1977, 3295, 3954, 5931, 6590, 9885, 11862, 19770, 29655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59296 and 59310. The biggest common factor number is the GCF number.
So the greatest common factor 59296 and 59310 is 2.

Also check out the Least Common Multiple of 59296 and 59310