What is the Greatest Common Factor of 29008 and 29019?

Greatest common factor (GCF) of 29008 and 29019 is 1.

GCF(29008,29019) = 1

We will now calculate the prime factors of 29008 and 29019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29008 and 29019.

How to find the GCF of 29008 and 29019?

We will first find the prime factorization of 29008 and 29019. After we will calculate the factors of 29008 and 29019 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 29019

Prime factors of 29019 are 3, 17, 569. Prime factorization of 29019 in exponential form is:

29019 = 3¹ × 17¹ × 569¹

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 29019

List of positive integer factors of 29019 that divides 29008 without a remainder.

1, 3, 17, 51, 569, 1707, 9673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29008 and 29019. The biggest common factor number is the GCF number.
So the greatest common factor 29008 and 29019 is 1.

Also check out the Least Common Multiple of 29008 and 29019