What is the Greatest Common Factor of 58596 and 58614?

Greatest common factor (GCF) of 58596 and 58614 is 6.

GCF(58596,58614) = 6

We will now calculate the prime factors of 58596 and 58614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58596 and 58614.

How to find the GCF of 58596 and 58614?

We will first find the prime factorization of 58596 and 58614. After we will calculate the factors of 58596 and 58614 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58614

Prime factors of 58614 are 2, 3, 9769. Prime factorization of 58614 in exponential form is:

58614 = 2¹ × 3¹ × 9769¹

Step-3: Factors of 58596

List of positive integer factors of 58596 that divides 58596 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

Step-4: Factors of 58614

List of positive integer factors of 58614 that divides 58596 without a remainder.

1, 2, 3, 6, 9769, 19538, 29307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58596 and 58614. The biggest common factor number is the GCF number.
So the greatest common factor 58596 and 58614 is 6.

Also check out the Least Common Multiple of 58596 and 58614