What is the Greatest Common Factor of 95825 and 95830?

Greatest common factor (GCF) of 95825 and 95830 is 5.

GCF(95825,95830) = 5

We will now calculate the prime factors of 95825 and 95830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95825 and 95830.

How to find the GCF of 95825 and 95830?

We will first find the prime factorization of 95825 and 95830. After we will calculate the factors of 95825 and 95830 and find the biggest common factor number .

Step-1: Prime Factorization of 95825

Prime factors of 95825 are 5, 3833. Prime factorization of 95825 in exponential form is:

95825 = 5² × 3833¹

Step-2: Prime Factorization of 95830

Prime factors of 95830 are 2, 5, 7, 37. Prime factorization of 95830 in exponential form is:

95830 = 2¹ × 5¹ × 7¹ × 37²

Step-3: Factors of 95825

List of positive integer factors of 95825 that divides 95825 without a remainder.

1, 5, 25, 3833, 19165

Step-4: Factors of 95830

List of positive integer factors of 95830 that divides 95825 without a remainder.

1, 2, 5, 7, 10, 14, 35, 37, 70, 74, 185, 259, 370, 518, 1295, 1369, 2590, 2738, 6845, 9583, 13690, 19166, 47915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95825 and 95830. The biggest common factor number is the GCF number.
So the greatest common factor 95825 and 95830 is 5.

Also check out the Least Common Multiple of 95825 and 95830