What is the Greatest Common Factor of 95850 and 95870?

Greatest common factor (GCF) of 95850 and 95870 is 10.

GCF(95850,95870) = 10

We will now calculate the prime factors of 95850 and 95870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95850 and 95870.

How to find the GCF of 95850 and 95870?

We will first find the prime factorization of 95850 and 95870. After we will calculate the factors of 95850 and 95870 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95870

Prime factors of 95870 are 2, 5, 9587. Prime factorization of 95870 in exponential form is:

95870 = 2¹ × 5¹ × 9587¹

Step-3: Factors of 95850

List of positive integer factors of 95850 that divides 95850 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

Step-4: Factors of 95870

List of positive integer factors of 95870 that divides 95850 without a remainder.

1, 2, 5, 10, 9587, 19174, 47935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95850 and 95870. The biggest common factor number is the GCF number.
So the greatest common factor 95850 and 95870 is 10.

Also check out the Least Common Multiple of 95850 and 95870