What is the Greatest Common Factor of 95850 and 95868?

Greatest common factor (GCF) of 95850 and 95868 is 18.

GCF(95850,95868) = 18

We will now calculate the prime factors of 95850 and 95868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95850 and 95868.

How to find the GCF of 95850 and 95868?

We will first find the prime factorization of 95850 and 95868. After we will calculate the factors of 95850 and 95868 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 95868

Prime factors of 95868 are 2, 3, 2663. Prime factorization of 95868 in exponential form is:

95868 = 2² × 3² × 2663¹

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 95868

List of positive integer factors of 95868 that divides 95850 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2663, 5326, 7989, 10652, 15978, 23967, 31956, 47934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95850 and 95868. The biggest common factor number is the GCF number.
So the greatest common factor 95850 and 95868 is 18.

Also check out the Least Common Multiple of 95850 and 95868