What is the Greatest Common Factor of 58723 and 58730?

Greatest common factor (GCF) of 58723 and 58730 is 7.

GCF(58723,58730) = 7

We will now calculate the prime factors of 58723 and 58730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58723 and 58730.

How to find the GCF of 58723 and 58730?

We will first find the prime factorization of 58723 and 58730. After we will calculate the factors of 58723 and 58730 and find the biggest common factor number .

Step-1: Prime Factorization of 58723

Prime factors of 58723 are 7, 8389. Prime factorization of 58723 in exponential form is:

58723 = 7¹ × 8389¹

Step-2: 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-3: Factors of 58723

List of positive integer factors of 58723 that divides 58723 without a remainder.

1, 7, 8389

Step-4: Factors of 58730

List of positive integer factors of 58730 that divides 58723 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58723 and 58730. The biggest common factor number is the GCF number.
So the greatest common factor 58723 and 58730 is 7.

Also check out the Least Common Multiple of 58723 and 58730