What is the Greatest Common Factor of 95370 and 95387?

Greatest common factor (GCF) of 95370 and 95387 is 17.

GCF(95370,95387) = 17

We will now calculate the prime factors of 95370 and 95387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95370 and 95387.

How to find the GCF of 95370 and 95387?

We will first find the prime factorization of 95370 and 95387. After we will calculate the factors of 95370 and 95387 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 95387

Prime factors of 95387 are 17, 31, 181. Prime factorization of 95387 in exponential form is:

95387 = 17¹ × 31¹ × 181¹

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 95387

List of positive integer factors of 95387 that divides 95370 without a remainder.

1, 17, 31, 181, 527, 3077, 5611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95370 and 95387. The biggest common factor number is the GCF number.
So the greatest common factor 95370 and 95387 is 17.

Also check out the Least Common Multiple of 95370 and 95387