What is the Greatest Common Factor of 47724 and 47736?

Greatest common factor (GCF) of 47724 and 47736 is 12.

GCF(47724,47736) = 12

We will now calculate the prime factors of 47724 and 47736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47724 and 47736.

How to find the GCF of 47724 and 47736?

We will first find the prime factorization of 47724 and 47736. After we will calculate the factors of 47724 and 47736 and find the biggest common factor number .

Step-1: Prime Factorization of 47724

Prime factors of 47724 are 2, 3, 41, 97. Prime factorization of 47724 in exponential form is:

47724 = 2² × 3¹ × 41¹ × 97¹

Step-2: 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-3: Factors of 47724

List of positive integer factors of 47724 that divides 47724 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 97, 123, 164, 194, 246, 291, 388, 492, 582, 1164, 3977, 7954, 11931, 15908, 23862

Step-4: Factors of 47736

List of positive integer factors of 47736 that divides 47724 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47724 and 47736. The biggest common factor number is the GCF number.
So the greatest common factor 47724 and 47736 is 12.

Also check out the Least Common Multiple of 47724 and 47736