What is the Greatest Common Factor of 95472 and 95489?

Greatest common factor (GCF) of 95472 and 95489 is 17.

GCF(95472,95489) = 17

We will now calculate the prime factors of 95472 and 95489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95472 and 95489.

How to find the GCF of 95472 and 95489?

We will first find the prime factorization of 95472 and 95489. After we will calculate the factors of 95472 and 95489 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95489

Prime factors of 95489 are 17, 41, 137. Prime factorization of 95489 in exponential form is:

95489 = 17¹ × 41¹ × 137¹

Step-3: Factors of 95472

List of positive integer factors of 95472 that divides 95472 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

Step-4: Factors of 95489

List of positive integer factors of 95489 that divides 95472 without a remainder.

1, 17, 41, 137, 697, 2329, 5617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95472 and 95489. The biggest common factor number is the GCF number.
So the greatest common factor 95472 and 95489 is 17.

Also check out the Least Common Multiple of 95472 and 95489