What is the Greatest Common Factor of 58730 and 58750?

Greatest common factor (GCF) of 58730 and 58750 is 10.

GCF(58730,58750) = 10

We will now calculate the prime factors of 58730 and 58750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58730 and 58750.

How to find the GCF of 58730 and 58750?

We will first find the prime factorization of 58730 and 58750. After we will calculate the factors of 58730 and 58750 and find the biggest common factor number .

Step-1: Prime Factorization of 58730

Prime factors of 58730 are 2, 5, 7, 839. Prime factorization of 58730 in exponential form is:

58730 = 2¹ × 5¹ × 7¹ × 839¹

Step-2: Prime Factorization of 58750

Prime factors of 58750 are 2, 5, 47. Prime factorization of 58750 in exponential form is:

58750 = 2¹ × 5⁴ × 47¹

Step-3: Factors of 58730

List of positive integer factors of 58730 that divides 58730 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 839, 1678, 4195, 5873, 8390, 11746, 29365

Step-4: Factors of 58750

List of positive integer factors of 58750 that divides 58730 without a remainder.

1, 2, 5, 10, 25, 47, 50, 94, 125, 235, 250, 470, 625, 1175, 1250, 2350, 5875, 11750, 29375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58730 and 58750. The biggest common factor number is the GCF number.
So the greatest common factor 58730 and 58750 is 10.

Also check out the Least Common Multiple of 58730 and 58750