What is the Greatest Common Factor of 58410 and 58420?

Greatest common factor (GCF) of 58410 and 58420 is 10.

GCF(58410,58420) = 10

We will now calculate the prime factors of 58410 and 58420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58410 and 58420.

How to find the GCF of 58410 and 58420?

We will first find the prime factorization of 58410 and 58420. After we will calculate the factors of 58410 and 58420 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 58420

Prime factors of 58420 are 2, 5, 23, 127. Prime factorization of 58420 in exponential form is:

58420 = 2² × 5¹ × 23¹ × 127¹

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 58420

List of positive integer factors of 58420 that divides 58410 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 127, 230, 254, 460, 508, 635, 1270, 2540, 2921, 5842, 11684, 14605, 29210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58410 and 58420. The biggest common factor number is the GCF number.
So the greatest common factor 58410 and 58420 is 10.

Also check out the Least Common Multiple of 58410 and 58420