What is the Greatest Common Factor of 58399 and 58410?

Greatest common factor (GCF) of 58399 and 58410 is 11.

GCF(58399,58410) = 11

We will now calculate the prime factors of 58399 and 58410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58399 and 58410.

How to find the GCF of 58399 and 58410?

We will first find the prime factorization of 58399 and 58410. After we will calculate the factors of 58399 and 58410 and find the biggest common factor number .

Step-1: Prime Factorization of 58399

Prime factors of 58399 are 11, 5309. Prime factorization of 58399 in exponential form is:

58399 = 11¹ × 5309¹

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 58399

List of positive integer factors of 58399 that divides 58399 without a remainder.

1, 11, 5309

Step-4: Factors of 58410

List of positive integer factors of 58410 that divides 58399 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 58399 and 58410. The biggest common factor number is the GCF number.
So the greatest common factor 58399 and 58410 is 11.

Also check out the Least Common Multiple of 58399 and 58410