What is the Greatest Common Factor of 47646 and 47664?

Greatest common factor (GCF) of 47646 and 47664 is 18.

GCF(47646,47664) = 18

We will now calculate the prime factors of 47646 and 47664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47646 and 47664.

How to find the GCF of 47646 and 47664?

We will first find the prime factorization of 47646 and 47664. After we will calculate the factors of 47646 and 47664 and find the biggest common factor number .

Step-1: Prime Factorization of 47646

Prime factors of 47646 are 2, 3, 2647. Prime factorization of 47646 in exponential form is:

47646 = 2¹ × 3² × 2647¹

Step-2: Prime Factorization of 47664

Prime factors of 47664 are 2, 3, 331. Prime factorization of 47664 in exponential form is:

47664 = 2⁴ × 3² × 331¹

Step-3: Factors of 47646

List of positive integer factors of 47646 that divides 47646 without a remainder.

1, 2, 3, 6, 9, 18, 2647, 5294, 7941, 15882, 23823

Step-4: Factors of 47664

List of positive integer factors of 47664 that divides 47646 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 331, 662, 993, 1324, 1986, 2648, 2979, 3972, 5296, 5958, 7944, 11916, 15888, 23832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47646 and 47664. The biggest common factor number is the GCF number.
So the greatest common factor 47646 and 47664 is 18.

Also check out the Least Common Multiple of 47646 and 47664