What is the Greatest Common Factor of 95452 and 95472?

Greatest common factor (GCF) of 95452 and 95472 is 4.

GCF(95452,95472) = 4

We will now calculate the prime factors of 95452 and 95472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95452 and 95472.

How to find the GCF of 95452 and 95472?

We will first find the prime factorization of 95452 and 95472. After we will calculate the factors of 95452 and 95472 and find the biggest common factor number .

Step-1: Prime Factorization of 95452

Prime factors of 95452 are 2, 7, 487. Prime factorization of 95452 in exponential form is:

95452 = 2² × 7² × 487¹

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 95452

List of positive integer factors of 95452 that divides 95452 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 487, 974, 1948, 3409, 6818, 13636, 23863, 47726

Step-4: Factors of 95472

List of positive integer factors of 95472 that divides 95452 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 95452 and 95472. The biggest common factor number is the GCF number.
So the greatest common factor 95452 and 95472 is 4.

Also check out the Least Common Multiple of 95452 and 95472