What is the Greatest Common Factor of 95400 and 95418?

Greatest common factor (GCF) of 95400 and 95418 is 18.

GCF(95400,95418) = 18

We will now calculate the prime factors of 95400 and 95418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95400 and 95418.

How to find the GCF of 95400 and 95418?

We will first find the prime factorization of 95400 and 95418. After we will calculate the factors of 95400 and 95418 and find the biggest common factor number .

Step-1: Prime Factorization of 95400

Prime factors of 95400 are 2, 3, 5, 53. Prime factorization of 95400 in exponential form is:

95400 = 2³ × 3² × 5² × 53¹

Step-2: Prime Factorization of 95418

Prime factors of 95418 are 2, 3, 19, 31. Prime factorization of 95418 in exponential form is:

95418 = 2¹ × 3⁴ × 19¹ × 31¹

Step-3: Factors of 95400

List of positive integer factors of 95400 that divides 95400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 53, 60, 72, 75, 90, 100, 106, 120, 150, 159, 180, 200, 212, 225, 265, 300, 318, 360, 424, 450, 477, 530, 600, 636, 795, 900, 954, 1060, 1272, 1325, 1590, 1800, 1908, 2120, 2385, 2650, 3180, 3816, 3975, 4770, 5300, 6360, 7950, 9540, 10600, 11925, 15900, 19080, 23850, 31800, 47700

Step-4: Factors of 95418

List of positive integer factors of 95418 that divides 95400 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 31, 38, 54, 57, 62, 81, 93, 114, 162, 171, 186, 279, 342, 513, 558, 589, 837, 1026, 1178, 1539, 1674, 1767, 2511, 3078, 3534, 5022, 5301, 10602, 15903, 31806, 47709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95400 and 95418. The biggest common factor number is the GCF number.
So the greatest common factor 95400 and 95418 is 18.

Also check out the Least Common Multiple of 95400 and 95418