What is the Greatest Common Factor of 29007 and 29012?

Greatest common factor (GCF) of 29007 and 29012 is 1.

GCF(29007,29012) = 1

We will now calculate the prime factors of 29007 and 29012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29007 and 29012.

How to find the GCF of 29007 and 29012?

We will first find the prime factorization of 29007 and 29012. After we will calculate the factors of 29007 and 29012 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 29012

Prime factors of 29012 are 2, 7253. Prime factorization of 29012 in exponential form is:

29012 = 2² × 7253¹

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 29012

List of positive integer factors of 29012 that divides 29007 without a remainder.

1, 2, 4, 7253, 14506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29007 and 29012. The biggest common factor number is the GCF number.
So the greatest common factor 29007 and 29012 is 1.

Also check out the Least Common Multiple of 29007 and 29012