What is the Greatest Common Factor of 47664 and 47668?

Greatest common factor (GCF) of 47664 and 47668 is 4.

GCF(47664,47668) = 4

We will now calculate the prime factors of 47664 and 47668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47664 and 47668.

How to find the GCF of 47664 and 47668?

We will first find the prime factorization of 47664 and 47668. After we will calculate the factors of 47664 and 47668 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47668

Prime factors of 47668 are 2, 17, 701. Prime factorization of 47668 in exponential form is:

47668 = 2² × 17¹ × 701¹

Step-3: Factors of 47664

List of positive integer factors of 47664 that divides 47664 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

Step-4: Factors of 47668

List of positive integer factors of 47668 that divides 47664 without a remainder.

1, 2, 4, 17, 34, 68, 701, 1402, 2804, 11917, 23834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47664 and 47668. The biggest common factor number is the GCF number.
So the greatest common factor 47664 and 47668 is 4.

Also check out the Least Common Multiple of 47664 and 47668