What is the Greatest Common Factor of 29014 and 29033?

Greatest common factor (GCF) of 29014 and 29033 is 1.

GCF(29014,29033) = 1

We will now calculate the prime factors of 29014 and 29033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29014 and 29033.

How to find the GCF of 29014 and 29033?

We will first find the prime factorization of 29014 and 29033. After we will calculate the factors of 29014 and 29033 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29033

Prime factors of 29033 are 29033. Prime factorization of 29033 in exponential form is:

29033 = 29033¹

Step-3: Factors of 29014

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

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

Step-4: Factors of 29033

List of positive integer factors of 29033 that divides 29014 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29014 and 29033. The biggest common factor number is the GCF number.
So the greatest common factor 29014 and 29033 is 1.

Also check out the Least Common Multiple of 29014 and 29033