What is the Greatest Common Factor of 95460 and 95472?

Greatest common factor (GCF) of 95460 and 95472 is 12.

GCF(95460,95472) = 12

We will now calculate the prime factors of 95460 and 95472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95460 and 95472.

How to find the GCF of 95460 and 95472?

We will first find the prime factorization of 95460 and 95472. After we will calculate the factors of 95460 and 95472 and find the biggest common factor number .

Step-1: Prime Factorization of 95460

Prime factors of 95460 are 2, 3, 5, 37, 43. Prime factorization of 95460 in exponential form is:

95460 = 2² × 3¹ × 5¹ × 37¹ × 43¹

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 95460

List of positive integer factors of 95460 that divides 95460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 43, 60, 74, 86, 111, 129, 148, 172, 185, 215, 222, 258, 370, 430, 444, 516, 555, 645, 740, 860, 1110, 1290, 1591, 2220, 2580, 3182, 4773, 6364, 7955, 9546, 15910, 19092, 23865, 31820, 47730

Step-4: Factors of 95472

List of positive integer factors of 95472 that divides 95460 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 95460 and 95472. The biggest common factor number is the GCF number.
So the greatest common factor 95460 and 95472 is 12.

Also check out the Least Common Multiple of 95460 and 95472