What is the Greatest Common Factor of 29664 and 29679?

Greatest common factor (GCF) of 29664 and 29679 is 3.

GCF(29664,29679) = 3

We will now calculate the prime factors of 29664 and 29679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29664 and 29679.

How to find the GCF of 29664 and 29679?

We will first find the prime factorization of 29664 and 29679. After we will calculate the factors of 29664 and 29679 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 29679

Prime factors of 29679 are 3, 13, 761. Prime factorization of 29679 in exponential form is:

29679 = 3¹ × 13¹ × 761¹

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 29679

List of positive integer factors of 29679 that divides 29664 without a remainder.

1, 3, 13, 39, 761, 2283, 9893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29664 and 29679. The biggest common factor number is the GCF number.
So the greatest common factor 29664 and 29679 is 3.

Also check out the Least Common Multiple of 29664 and 29679