What is the Greatest Common Factor of 95835 and 95850?

Greatest common factor (GCF) of 95835 and 95850 is 15.

GCF(95835,95850) = 15

We will now calculate the prime factors of 95835 and 95850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95835 and 95850.

How to find the GCF of 95835 and 95850?

We will first find the prime factorization of 95835 and 95850. After we will calculate the factors of 95835 and 95850 and find the biggest common factor number .

Step-1: Prime Factorization of 95835

Prime factors of 95835 are 3, 5, 6389. Prime factorization of 95835 in exponential form is:

95835 = 3¹ × 5¹ × 6389¹

Step-2: Prime Factorization of 95850

Prime factors of 95850 are 2, 3, 5, 71. Prime factorization of 95850 in exponential form is:

95850 = 2¹ × 3³ × 5² × 71¹

Step-3: Factors of 95835

List of positive integer factors of 95835 that divides 95835 without a remainder.

1, 3, 5, 15, 6389, 19167, 31945

Step-4: Factors of 95850

List of positive integer factors of 95850 that divides 95835 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 71, 75, 90, 135, 142, 150, 213, 225, 270, 355, 426, 450, 639, 675, 710, 1065, 1278, 1350, 1775, 1917, 2130, 3195, 3550, 3834, 5325, 6390, 9585, 10650, 15975, 19170, 31950, 47925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95835 and 95850. The biggest common factor number is the GCF number.
So the greatest common factor 95835 and 95850 is 15.

Also check out the Least Common Multiple of 95835 and 95850