What is the Greatest Common Factor of 47736 and 47754?

Greatest common factor (GCF) of 47736 and 47754 is 18.

GCF(47736,47754) = 18

We will now calculate the prime factors of 47736 and 47754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47736 and 47754.

How to find the GCF of 47736 and 47754?

We will first find the prime factorization of 47736 and 47754. After we will calculate the factors of 47736 and 47754 and find the biggest common factor number .

Step-1: Prime Factorization of 47736

Prime factors of 47736 are 2, 3, 13, 17. Prime factorization of 47736 in exponential form is:

47736 = 2³ × 3³ × 13¹ × 17¹

Step-2: Prime Factorization of 47754

Prime factors of 47754 are 2, 3, 7, 379. Prime factorization of 47754 in exponential form is:

47754 = 2¹ × 3² × 7¹ × 379¹

Step-3: Factors of 47736

List of positive integer factors of 47736 that divides 47736 without a remainder.

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

Step-4: Factors of 47754

List of positive integer factors of 47754 that divides 47736 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 379, 758, 1137, 2274, 2653, 3411, 5306, 6822, 7959, 15918, 23877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47736 and 47754. The biggest common factor number is the GCF number.
So the greatest common factor 47736 and 47754 is 18.

Also check out the Least Common Multiple of 47736 and 47754