What is the Greatest Common Factor of 29007 and 29014?

Greatest common factor (GCF) of 29007 and 29014 is 1.

GCF(29007,29014) = 1

We will now calculate the prime factors of 29007 and 29014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29007 and 29014.

How to find the GCF of 29007 and 29014?

We will first find the prime factorization of 29007 and 29014. After we will calculate the factors of 29007 and 29014 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 29014

Prime factors of 29014 are 2, 89, 163. Prime factorization of 29014 in exponential form is:

29014 = 2¹ × 89¹ × 163¹

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 29014

List of positive integer factors of 29014 that divides 29007 without a remainder.

1, 2, 89, 163, 178, 326, 14507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29007 and 29014. The biggest common factor number is the GCF number.
So the greatest common factor 29007 and 29014 is 1.

Also check out the Least Common Multiple of 29007 and 29014