What is the Greatest Common Factor of 47664 and 47670?

Greatest common factor (GCF) of 47664 and 47670 is 6.

GCF(47664,47670) = 6

We will now calculate the prime factors of 47664 and 47670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47664 and 47670.

How to find the GCF of 47664 and 47670?

We will first find the prime factorization of 47664 and 47670. After we will calculate the factors of 47664 and 47670 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 47670

Prime factors of 47670 are 2, 3, 5, 7, 227. Prime factorization of 47670 in exponential form is:

47670 = 2¹ × 3¹ × 5¹ × 7¹ × 227¹

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 47670

List of positive integer factors of 47670 that divides 47664 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 227, 454, 681, 1135, 1362, 1589, 2270, 3178, 3405, 4767, 6810, 7945, 9534, 15890, 23835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47664 and 47670. The biggest common factor number is the GCF number.
So the greatest common factor 47664 and 47670 is 6.

Also check out the Least Common Multiple of 47664 and 47670