What is the Greatest Common Factor of 95466 and 95472?

Greatest common factor (GCF) of 95466 and 95472 is 6.

GCF(95466,95472) = 6

We will now calculate the prime factors of 95466 and 95472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95466 and 95472.

How to find the GCF of 95466 and 95472?

We will first find the prime factorization of 95466 and 95472. After we will calculate the factors of 95466 and 95472 and find the biggest common factor number .

Step-1: Prime Factorization of 95466

Prime factors of 95466 are 2, 3, 7, 2273. Prime factorization of 95466 in exponential form is:

95466 = 2¹ × 3¹ × 7¹ × 2273¹

Step-2: Prime Factorization of 95472

Prime factors of 95472 are 2, 3, 13, 17. Prime factorization of 95472 in exponential form is:

95472 = 2⁴ × 3³ × 13¹ × 17¹

Step-3: Factors of 95466

List of positive integer factors of 95466 that divides 95466 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2273, 4546, 6819, 13638, 15911, 31822, 47733

Step-4: Factors of 95472

List of positive integer factors of 95472 that divides 95466 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 17, 18, 24, 26, 27, 34, 36, 39, 48, 51, 52, 54, 68, 72, 78, 102, 104, 108, 117, 136, 144, 153, 156, 204, 208, 216, 221, 234, 272, 306, 312, 351, 408, 432, 442, 459, 468, 612, 624, 663, 702, 816, 884, 918, 936, 1224, 1326, 1404, 1768, 1836, 1872, 1989, 2448, 2652, 2808, 3536, 3672, 3978, 5304, 5616, 5967, 7344, 7956, 10608, 11934, 15912, 23868, 31824, 47736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95466 and 95472. The biggest common factor number is the GCF number.
So the greatest common factor 95466 and 95472 is 6.

Also check out the Least Common Multiple of 95466 and 95472