What is the Greatest Common Factor of 29004 and 29008?

Greatest common factor (GCF) of 29004 and 29008 is 4.

GCF(29004,29008) = 4

We will now calculate the prime factors of 29004 and 29008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29004 and 29008.

How to find the GCF of 29004 and 29008?

We will first find the prime factorization of 29004 and 29008. After we will calculate the factors of 29004 and 29008 and find the biggest common factor number .

Step-1: Prime Factorization of 29004

Prime factors of 29004 are 2, 3, 2417. Prime factorization of 29004 in exponential form is:

29004 = 2² × 3¹ × 2417¹

Step-2: Prime Factorization of 29008

Prime factors of 29008 are 2, 7, 37. Prime factorization of 29008 in exponential form is:

29008 = 2⁴ × 7² × 37¹

Step-3: Factors of 29004

List of positive integer factors of 29004 that divides 29004 without a remainder.

1, 2, 3, 4, 6, 12, 2417, 4834, 7251, 9668, 14502

Step-4: Factors of 29008

List of positive integer factors of 29008 that divides 29004 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 37, 49, 56, 74, 98, 112, 148, 196, 259, 296, 392, 518, 592, 784, 1036, 1813, 2072, 3626, 4144, 7252, 14504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29004 and 29008. The biggest common factor number is the GCF number.
So the greatest common factor 29004 and 29008 is 4.

Also check out the Least Common Multiple of 29004 and 29008