What is the Greatest Common Factor of 58578 and 58596?

Greatest common factor (GCF) of 58578 and 58596 is 6.

GCF(58578,58596) = 6

We will now calculate the prime factors of 58578 and 58596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58578 and 58596.

How to find the GCF of 58578 and 58596?

We will first find the prime factorization of 58578 and 58596. After we will calculate the factors of 58578 and 58596 and find the biggest common factor number .

Step-1: Prime Factorization of 58578

Prime factors of 58578 are 2, 3, 13, 751. Prime factorization of 58578 in exponential form is:

58578 = 2¹ × 3¹ × 13¹ × 751¹

Step-2: Prime Factorization of 58596

Prime factors of 58596 are 2, 3, 19, 257. Prime factorization of 58596 in exponential form is:

58596 = 2² × 3¹ × 19¹ × 257¹

Step-3: Factors of 58578

List of positive integer factors of 58578 that divides 58578 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 751, 1502, 2253, 4506, 9763, 19526, 29289

Step-4: Factors of 58596

List of positive integer factors of 58596 that divides 58578 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 257, 514, 771, 1028, 1542, 3084, 4883, 9766, 14649, 19532, 29298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58578 and 58596. The biggest common factor number is the GCF number.
So the greatest common factor 58578 and 58596 is 6.

Also check out the Least Common Multiple of 58578 and 58596