What is the Greatest Common Factor of 29165 and 29173?

Greatest common factor (GCF) of 29165 and 29173 is 1.

GCF(29165,29173) = 1

We will now calculate the prime factors of 29165 and 29173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29165 and 29173.

How to find the GCF of 29165 and 29173?

We will first find the prime factorization of 29165 and 29173. After we will calculate the factors of 29165 and 29173 and find the biggest common factor number .

Step-1: Prime Factorization of 29165

Prime factors of 29165 are 5, 19, 307. Prime factorization of 29165 in exponential form is:

29165 = 5¹ × 19¹ × 307¹

Step-2: Prime Factorization of 29173

Prime factors of 29173 are 29173. Prime factorization of 29173 in exponential form is:

29173 = 29173¹

Step-3: Factors of 29165

List of positive integer factors of 29165 that divides 29165 without a remainder.

1, 5, 19, 95, 307, 1535, 5833

Step-4: Factors of 29173

List of positive integer factors of 29173 that divides 29165 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29165 and 29173. The biggest common factor number is the GCF number.
So the greatest common factor 29165 and 29173 is 1.

Also check out the Least Common Multiple of 29165 and 29173