What is the Greatest Common Factor of 29007 and 29017?

Greatest common factor (GCF) of 29007 and 29017 is 1.

GCF(29007,29017) = 1

We will now calculate the prime factors of 29007 and 29017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29007 and 29017.

How to find the GCF of 29007 and 29017?

We will first find the prime factorization of 29007 and 29017. After we will calculate the factors of 29007 and 29017 and find the biggest common factor number .

Step-1: Prime Factorization of 29007

Prime factors of 29007 are 3, 11, 293. Prime factorization of 29007 in exponential form is:

29007 = 3² × 11¹ × 293¹

Step-2: Prime Factorization of 29017

Prime factors of 29017 are 29017. Prime factorization of 29017 in exponential form is:

29017 = 29017¹

Step-3: Factors of 29007

List of positive integer factors of 29007 that divides 29007 without a remainder.

1, 3, 9, 11, 33, 99, 293, 879, 2637, 3223, 9669

Step-4: Factors of 29017

List of positive integer factors of 29017 that divides 29007 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29007 and 29017. The biggest common factor number is the GCF number.
So the greatest common factor 29007 and 29017 is 1.

Also check out the Least Common Multiple of 29007 and 29017