What is the Greatest Common Factor of 95370 and 95385?

Greatest common factor (GCF) of 95370 and 95385 is 15.

GCF(95370,95385) = 15

We will now calculate the prime factors of 95370 and 95385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95370 and 95385.

How to find the GCF of 95370 and 95385?

We will first find the prime factorization of 95370 and 95385. After we will calculate the factors of 95370 and 95385 and find the biggest common factor number .

Step-1: Prime Factorization of 95370

Prime factors of 95370 are 2, 3, 5, 11, 17. Prime factorization of 95370 in exponential form is:

95370 = 2¹ × 3¹ × 5¹ × 11¹ × 17²

Step-2: 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-3: Factors of 95370

List of positive integer factors of 95370 that divides 95370 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 30, 33, 34, 51, 55, 66, 85, 102, 110, 165, 170, 187, 255, 289, 330, 374, 510, 561, 578, 867, 935, 1122, 1445, 1734, 1870, 2805, 2890, 3179, 4335, 5610, 6358, 8670, 9537, 15895, 19074, 31790, 47685

Step-4: Factors of 95385

List of positive integer factors of 95385 that divides 95370 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95370 and 95385. The biggest common factor number is the GCF number.
So the greatest common factor 95370 and 95385 is 15.

Also check out the Least Common Multiple of 95370 and 95385