What is the Greatest Common Factor of 95352 and 95370?

Greatest common factor (GCF) of 95352 and 95370 is 6.

GCF(95352,95370) = 6

We will now calculate the prime factors of 95352 and 95370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95352 and 95370.

How to find the GCF of 95352 and 95370?

We will first find the prime factorization of 95352 and 95370. After we will calculate the factors of 95352 and 95370 and find the biggest common factor number .

Step-1: Prime Factorization of 95352

Prime factors of 95352 are 2, 3, 29, 137. Prime factorization of 95352 in exponential form is:

95352 = 2³ × 3¹ × 29¹ × 137¹

Step-2: 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-3: Factors of 95352

List of positive integer factors of 95352 that divides 95352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 137, 174, 232, 274, 348, 411, 548, 696, 822, 1096, 1644, 3288, 3973, 7946, 11919, 15892, 23838, 31784, 47676

Step-4: Factors of 95370

List of positive integer factors of 95370 that divides 95352 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95352 and 95370. The biggest common factor number is the GCF number.
So the greatest common factor 95352 and 95370 is 6.

Also check out the Least Common Multiple of 95352 and 95370