What is the Greatest Common Factor of 95459 and 95472?

Greatest common factor (GCF) of 95459 and 95472 is 13.

GCF(95459,95472) = 13

We will now calculate the prime factors of 95459 and 95472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95459 and 95472.

How to find the GCF of 95459 and 95472?

We will first find the prime factorization of 95459 and 95472. After we will calculate the factors of 95459 and 95472 and find the biggest common factor number .

Step-1: Prime Factorization of 95459

Prime factors of 95459 are 7, 13, 1049. Prime factorization of 95459 in exponential form is:

95459 = 7¹ × 13¹ × 1049¹

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 95459

List of positive integer factors of 95459 that divides 95459 without a remainder.

1, 7, 13, 91, 1049, 7343, 13637

Step-4: Factors of 95472

List of positive integer factors of 95472 that divides 95459 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 95459 and 95472. The biggest common factor number is the GCF number.
So the greatest common factor 95459 and 95472 is 13.

Also check out the Least Common Multiple of 95459 and 95472