What is the Greatest Common Factor of 47723 and 47736?

Greatest common factor (GCF) of 47723 and 47736 is 13.

GCF(47723,47736) = 13

We will now calculate the prime factors of 47723 and 47736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47723 and 47736.

How to find the GCF of 47723 and 47736?

We will first find the prime factorization of 47723 and 47736. After we will calculate the factors of 47723 and 47736 and find the biggest common factor number .

Step-1: Prime Factorization of 47723

Prime factors of 47723 are 13, 3671. Prime factorization of 47723 in exponential form is:

47723 = 13¹ × 3671¹

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 47723

List of positive integer factors of 47723 that divides 47723 without a remainder.

1, 13, 3671

Step-4: Factors of 47736

List of positive integer factors of 47736 that divides 47723 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 47723 and 47736. The biggest common factor number is the GCF number.
So the greatest common factor 47723 and 47736 is 13.

Also check out the Least Common Multiple of 47723 and 47736