What is the Greatest Common Factor of 95810 and 95830?

Greatest common factor (GCF) of 95810 and 95830 is 10.

GCF(95810,95830) = 10

We will now calculate the prime factors of 95810 and 95830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95810 and 95830.

How to find the GCF of 95810 and 95830?

We will first find the prime factorization of 95810 and 95830. After we will calculate the factors of 95810 and 95830 and find the biggest common factor number .

Step-1: Prime Factorization of 95810

Prime factors of 95810 are 2, 5, 11, 13, 67. Prime factorization of 95810 in exponential form is:

95810 = 2¹ × 5¹ × 11¹ × 13¹ × 67¹

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 95810

List of positive integer factors of 95810 that divides 95810 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 67, 110, 130, 134, 143, 286, 335, 670, 715, 737, 871, 1430, 1474, 1742, 3685, 4355, 7370, 8710, 9581, 19162, 47905

Step-4: Factors of 95830

List of positive integer factors of 95830 that divides 95810 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 95810 and 95830. The biggest common factor number is the GCF number.
So the greatest common factor 95810 and 95830 is 10.

Also check out the Least Common Multiple of 95810 and 95830