What is the Greatest Common Factor of 29149 and 29167?

Greatest common factor (GCF) of 29149 and 29167 is 1.

GCF(29149,29167) = 1

We will now calculate the prime factors of 29149 and 29167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29149 and 29167.

How to find the GCF of 29149 and 29167?

We will first find the prime factorization of 29149 and 29167. After we will calculate the factors of 29149 and 29167 and find the biggest common factor number .

Step-1: Prime Factorization of 29149

Prime factors of 29149 are 103, 283. Prime factorization of 29149 in exponential form is:

29149 = 103¹ × 283¹

Step-2: Prime Factorization of 29167

Prime factors of 29167 are 29167. Prime factorization of 29167 in exponential form is:

29167 = 29167¹

Step-3: Factors of 29149

List of positive integer factors of 29149 that divides 29149 without a remainder.

1, 103, 283

Step-4: Factors of 29167

List of positive integer factors of 29167 that divides 29149 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29149 and 29167. The biggest common factor number is the GCF number.
So the greatest common factor 29149 and 29167 is 1.

Also check out the Least Common Multiple of 29149 and 29167