What is the Greatest Common Factor of 95400 and 95415?

Greatest common factor (GCF) of 95400 and 95415 is 15.

GCF(95400,95415) = 15

We will now calculate the prime factors of 95400 and 95415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95400 and 95415.

How to find the GCF of 95400 and 95415?

We will first find the prime factorization of 95400 and 95415. After we will calculate the factors of 95400 and 95415 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 95415

Prime factors of 95415 are 3, 5, 6361. Prime factorization of 95415 in exponential form is:

95415 = 3¹ × 5¹ × 6361¹

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 95415

List of positive integer factors of 95415 that divides 95400 without a remainder.

1, 3, 5, 15, 6361, 19083, 31805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95400 and 95415. The biggest common factor number is the GCF number.
So the greatest common factor 95400 and 95415 is 15.

Also check out the Least Common Multiple of 95400 and 95415