What is the Greatest Common Factor of 57830 and 57835?

Greatest common factor (GCF) of 57830 and 57835 is 5.

GCF(57830,57835) = 5

We will now calculate the prime factors of 57830 and 57835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57830 and 57835.

How to find the GCF of 57830 and 57835?

We will first find the prime factorization of 57830 and 57835. After we will calculate the factors of 57830 and 57835 and find the biggest common factor number .

Step-1: Prime Factorization of 57830

Prime factors of 57830 are 2, 5, 5783. Prime factorization of 57830 in exponential form is:

57830 = 2¹ × 5¹ × 5783¹

Step-2: Prime Factorization of 57835

Prime factors of 57835 are 5, 43, 269. Prime factorization of 57835 in exponential form is:

57835 = 5¹ × 43¹ × 269¹

Step-3: Factors of 57830

List of positive integer factors of 57830 that divides 57830 without a remainder.

1, 2, 5, 10, 5783, 11566, 28915

Step-4: Factors of 57835

List of positive integer factors of 57835 that divides 57830 without a remainder.

1, 5, 43, 215, 269, 1345, 11567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57830 and 57835. The biggest common factor number is the GCF number.
So the greatest common factor 57830 and 57835 is 5.

Also check out the Least Common Multiple of 57830 and 57835