What is the Greatest Common Factor of 29664 and 29673?

Greatest common factor (GCF) of 29664 and 29673 is 9.

GCF(29664,29673) = 9

We will now calculate the prime factors of 29664 and 29673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29664 and 29673.

How to find the GCF of 29664 and 29673?

We will first find the prime factorization of 29664 and 29673. After we will calculate the factors of 29664 and 29673 and find the biggest common factor number .

Step-1: Prime Factorization of 29664

Prime factors of 29664 are 2, 3, 103. Prime factorization of 29664 in exponential form is:

29664 = 2⁵ × 3² × 103¹

Step-2: Prime Factorization of 29673

Prime factors of 29673 are 3, 7, 157. Prime factorization of 29673 in exponential form is:

29673 = 3³ × 7¹ × 157¹

Step-3: Factors of 29664

List of positive integer factors of 29664 that divides 29664 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 103, 144, 206, 288, 309, 412, 618, 824, 927, 1236, 1648, 1854, 2472, 3296, 3708, 4944, 7416, 9888, 14832

Step-4: Factors of 29673

List of positive integer factors of 29673 that divides 29664 without a remainder.

1, 3, 7, 9, 21, 27, 63, 157, 189, 471, 1099, 1413, 3297, 4239, 9891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29664 and 29673. The biggest common factor number is the GCF number.
So the greatest common factor 29664 and 29673 is 9.

Also check out the Least Common Multiple of 29664 and 29673