What is the Greatest Common Factor of 58410 and 58416?

Greatest common factor (GCF) of 58410 and 58416 is 6.

GCF(58410,58416) = 6

We will now calculate the prime factors of 58410 and 58416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58410 and 58416.

How to find the GCF of 58410 and 58416?

We will first find the prime factorization of 58410 and 58416. After we will calculate the factors of 58410 and 58416 and find the biggest common factor number .

Step-1: Prime Factorization of 58410

Prime factors of 58410 are 2, 3, 5, 11, 59. Prime factorization of 58410 in exponential form is:

58410 = 2¹ × 3² × 5¹ × 11¹ × 59¹

Step-2: Prime Factorization of 58416

Prime factors of 58416 are 2, 3, 1217. Prime factorization of 58416 in exponential form is:

58416 = 2⁴ × 3¹ × 1217¹

Step-3: Factors of 58410

List of positive integer factors of 58410 that divides 58410 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 59, 66, 90, 99, 110, 118, 165, 177, 198, 295, 330, 354, 495, 531, 590, 649, 885, 990, 1062, 1298, 1770, 1947, 2655, 3245, 3894, 5310, 5841, 6490, 9735, 11682, 19470, 29205

Step-4: Factors of 58416

List of positive integer factors of 58416 that divides 58410 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1217, 2434, 3651, 4868, 7302, 9736, 14604, 19472, 29208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58410 and 58416. The biggest common factor number is the GCF number.
So the greatest common factor 58410 and 58416 is 6.

Also check out the Least Common Multiple of 58410 and 58416