What is the Greatest Common Factor of 29008 and 29015?

Greatest common factor (GCF) of 29008 and 29015 is 7.

GCF(29008,29015) = 7

We will now calculate the prime factors of 29008 and 29015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29008 and 29015.

How to find the GCF of 29008 and 29015?

We will first find the prime factorization of 29008 and 29015. After we will calculate the factors of 29008 and 29015 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29015

Prime factors of 29015 are 5, 7, 829. Prime factorization of 29015 in exponential form is:

29015 = 5¹ × 7¹ × 829¹

Step-3: Factors of 29008

List of positive integer factors of 29008 that divides 29008 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

Step-4: Factors of 29015

List of positive integer factors of 29015 that divides 29008 without a remainder.

1, 5, 7, 35, 829, 4145, 5803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29008 and 29015. The biggest common factor number is the GCF number.
So the greatest common factor 29008 and 29015 is 7.

Also check out the Least Common Multiple of 29008 and 29015