What is the Greatest Common Factor of 29664 and 29672?

Greatest common factor (GCF) of 29664 and 29672 is 8.

GCF(29664,29672) = 8

We will now calculate the prime factors of 29664 and 29672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29664 and 29672.

How to find the GCF of 29664 and 29672?

We will first find the prime factorization of 29664 and 29672. After we will calculate the factors of 29664 and 29672 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 29672

Prime factors of 29672 are 2, 3709. Prime factorization of 29672 in exponential form is:

29672 = 2³ × 3709¹

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 29672

List of positive integer factors of 29672 that divides 29664 without a remainder.

1, 2, 4, 8, 3709, 7418, 14836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29664 and 29672. The biggest common factor number is the GCF number.
So the greatest common factor 29664 and 29672 is 8.

Also check out the Least Common Multiple of 29664 and 29672