What is the Greatest Common Factor of 95190 and 95205?

Greatest common factor (GCF) of 95190 and 95205 is 15.

GCF(95190,95205) = 15

We will now calculate the prime factors of 95190 and 95205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95190 and 95205.

How to find the GCF of 95190 and 95205?

We will first find the prime factorization of 95190 and 95205. After we will calculate the factors of 95190 and 95205 and find the biggest common factor number .

Step-1: Prime Factorization of 95190

Prime factors of 95190 are 2, 3, 5, 19, 167. Prime factorization of 95190 in exponential form is:

95190 = 2¹ × 3¹ × 5¹ × 19¹ × 167¹

Step-2: Prime Factorization of 95205

Prime factors of 95205 are 3, 5, 11, 577. Prime factorization of 95205 in exponential form is:

95205 = 3¹ × 5¹ × 11¹ × 577¹

Step-3: Factors of 95190

List of positive integer factors of 95190 that divides 95190 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 167, 190, 285, 334, 501, 570, 835, 1002, 1670, 2505, 3173, 5010, 6346, 9519, 15865, 19038, 31730, 47595

Step-4: Factors of 95205

List of positive integer factors of 95205 that divides 95190 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 577, 1731, 2885, 6347, 8655, 19041, 31735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95190 and 95205. The biggest common factor number is the GCF number.
So the greatest common factor 95190 and 95205 is 15.

Also check out the Least Common Multiple of 95190 and 95205