What is the Greatest Common Factor of 29151 and 29163?

Greatest common factor (GCF) of 29151 and 29163 is 3.

GCF(29151,29163) = 3

We will now calculate the prime factors of 29151 and 29163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29151 and 29163.

How to find the GCF of 29151 and 29163?

We will first find the prime factorization of 29151 and 29163. After we will calculate the factors of 29151 and 29163 and find the biggest common factor number .

Step-1: Prime Factorization of 29151

Prime factors of 29151 are 3, 41, 79. Prime factorization of 29151 in exponential form is:

29151 = 3² × 41¹ × 79¹

Step-2: Prime Factorization of 29163

Prime factors of 29163 are 3, 9721. Prime factorization of 29163 in exponential form is:

29163 = 3¹ × 9721¹

Step-3: Factors of 29151

List of positive integer factors of 29151 that divides 29151 without a remainder.

1, 3, 9, 41, 79, 123, 237, 369, 711, 3239, 9717

Step-4: Factors of 29163

List of positive integer factors of 29163 that divides 29151 without a remainder.

1, 3, 9721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29151 and 29163. The biggest common factor number is the GCF number.
So the greatest common factor 29151 and 29163 is 3.

Also check out the Least Common Multiple of 29151 and 29163