What is the Greatest Common Factor of 95370 and 95375?

Greatest common factor (GCF) of 95370 and 95375 is 5.

GCF(95370,95375) = 5

We will now calculate the prime factors of 95370 and 95375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95370 and 95375.

How to find the GCF of 95370 and 95375?

We will first find the prime factorization of 95370 and 95375. After we will calculate the factors of 95370 and 95375 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 95375

Prime factors of 95375 are 5, 7, 109. Prime factorization of 95375 in exponential form is:

95375 = 5³ × 7¹ × 109¹

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 95375

List of positive integer factors of 95375 that divides 95370 without a remainder.

1, 5, 7, 25, 35, 109, 125, 175, 545, 763, 875, 2725, 3815, 13625, 19075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95370 and 95375. The biggest common factor number is the GCF number.
So the greatest common factor 95370 and 95375 is 5.

Also check out the Least Common Multiple of 95370 and 95375