What is the Greatest Common Factor of 95385 and 95400?

Greatest common factor (GCF) of 95385 and 95400 is 15.

GCF(95385,95400) = 15

We will now calculate the prime factors of 95385 and 95400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95385 and 95400.

How to find the GCF of 95385 and 95400?

We will first find the prime factorization of 95385 and 95400. After we will calculate the factors of 95385 and 95400 and find the biggest common factor number .

Step-1: Prime Factorization of 95385

Prime factors of 95385 are 3, 5, 6359. Prime factorization of 95385 in exponential form is:

95385 = 3¹ × 5¹ × 6359¹

Step-2: 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-3: Factors of 95385

List of positive integer factors of 95385 that divides 95385 without a remainder.

1, 3, 5, 15, 6359, 19077, 31795

Step-4: Factors of 95400

List of positive integer factors of 95400 that divides 95385 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95385 and 95400. The biggest common factor number is the GCF number.
So the greatest common factor 95385 and 95400 is 15.

Also check out the Least Common Multiple of 95385 and 95400