What is the Greatest Common Factor of 47644 and 47664?

Greatest common factor (GCF) of 47644 and 47664 is 4.

GCF(47644,47664) = 4

We will now calculate the prime factors of 47644 and 47664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47644 and 47664.

How to find the GCF of 47644 and 47664?

We will first find the prime factorization of 47644 and 47664. After we will calculate the factors of 47644 and 47664 and find the biggest common factor number .

Step-1: Prime Factorization of 47644

Prime factors of 47644 are 2, 43, 277. Prime factorization of 47644 in exponential form is:

47644 = 2² × 43¹ × 277¹

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 47644

List of positive integer factors of 47644 that divides 47644 without a remainder.

1, 2, 4, 43, 86, 172, 277, 554, 1108, 11911, 23822

Step-4: Factors of 47664

List of positive integer factors of 47664 that divides 47644 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 47644 and 47664. The biggest common factor number is the GCF number.
So the greatest common factor 47644 and 47664 is 4.

Also check out the Least Common Multiple of 47644 and 47664