What is the Greatest Common Factor of 47817 and 47832?

Greatest common factor (GCF) of 47817 and 47832 is 3.

GCF(47817,47832) = 3

We will now calculate the prime factors of 47817 and 47832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47817 and 47832.

How to find the GCF of 47817 and 47832?

We will first find the prime factorization of 47817 and 47832. After we will calculate the factors of 47817 and 47832 and find the biggest common factor number .

Step-1: Prime Factorization of 47817

Prime factors of 47817 are 3, 7, 11, 23. Prime factorization of 47817 in exponential form is:

47817 = 3³ × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 47832

Prime factors of 47832 are 2, 3, 1993. Prime factorization of 47832 in exponential form is:

47832 = 2³ × 3¹ × 1993¹

Step-3: Factors of 47817

List of positive integer factors of 47817 that divides 47817 without a remainder.

1, 3, 7, 9, 11, 21, 23, 27, 33, 63, 69, 77, 99, 161, 189, 207, 231, 253, 297, 483, 621, 693, 759, 1449, 1771, 2079, 2277, 4347, 5313, 6831, 15939

Step-4: Factors of 47832

List of positive integer factors of 47832 that divides 47817 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1993, 3986, 5979, 7972, 11958, 15944, 23916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47817 and 47832. The biggest common factor number is the GCF number.
So the greatest common factor 47817 and 47832 is 3.

Also check out the Least Common Multiple of 47817 and 47832