What is the Greatest Common Factor of 95175 and 95184?

Greatest common factor (GCF) of 95175 and 95184 is 9.

GCF(95175,95184) = 9

We will now calculate the prime factors of 95175 and 95184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95175 and 95184.

How to find the GCF of 95175 and 95184?

We will first find the prime factorization of 95175 and 95184. After we will calculate the factors of 95175 and 95184 and find the biggest common factor number .

Step-1: Prime Factorization of 95175

Prime factors of 95175 are 3, 5, 47. Prime factorization of 95175 in exponential form is:

95175 = 3⁴ × 5² × 47¹

Step-2: Prime Factorization of 95184

Prime factors of 95184 are 2, 3, 661. Prime factorization of 95184 in exponential form is:

95184 = 2⁴ × 3² × 661¹

Step-3: Factors of 95175

List of positive integer factors of 95175 that divides 95175 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 47, 75, 81, 135, 141, 225, 235, 405, 423, 675, 705, 1175, 1269, 2025, 2115, 3525, 3807, 6345, 10575, 19035, 31725

Step-4: Factors of 95184

List of positive integer factors of 95184 that divides 95175 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 661, 1322, 1983, 2644, 3966, 5288, 5949, 7932, 10576, 11898, 15864, 23796, 31728, 47592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95175 and 95184. The biggest common factor number is the GCF number.
So the greatest common factor 95175 and 95184 is 9.

Also check out the Least Common Multiple of 95175 and 95184