What is the Greatest Common Factor of 58390 and 58410?

Greatest common factor (GCF) of 58390 and 58410 is 10.

GCF(58390,58410) = 10

We will now calculate the prime factors of 58390 and 58410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58390 and 58410.

How to find the GCF of 58390 and 58410?

We will first find the prime factorization of 58390 and 58410. After we will calculate the factors of 58390 and 58410 and find the biggest common factor number .

Step-1: Prime Factorization of 58390

Prime factors of 58390 are 2, 5, 5839. Prime factorization of 58390 in exponential form is:

58390 = 2¹ × 5¹ × 5839¹

Step-2: 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-3: Factors of 58390

List of positive integer factors of 58390 that divides 58390 without a remainder.

1, 2, 5, 10, 5839, 11678, 29195

Step-4: Factors of 58410

List of positive integer factors of 58410 that divides 58390 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58390 and 58410. The biggest common factor number is the GCF number.
So the greatest common factor 58390 and 58410 is 10.

Also check out the Least Common Multiple of 58390 and 58410