What is the Greatest Common Factor of 29145 and 29164?

Greatest common factor (GCF) of 29145 and 29164 is 1.

GCF(29145,29164) = 1

We will now calculate the prime factors of 29145 and 29164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29145 and 29164.

How to find the GCF of 29145 and 29164?

We will first find the prime factorization of 29145 and 29164. After we will calculate the factors of 29145 and 29164 and find the biggest common factor number .

Step-1: Prime Factorization of 29145

Prime factors of 29145 are 3, 5, 29, 67. Prime factorization of 29145 in exponential form is:

29145 = 3¹ × 5¹ × 29¹ × 67¹

Step-2: Prime Factorization of 29164

Prime factors of 29164 are 2, 23, 317. Prime factorization of 29164 in exponential form is:

29164 = 2² × 23¹ × 317¹

Step-3: Factors of 29145

List of positive integer factors of 29145 that divides 29145 without a remainder.

1, 3, 5, 15, 29, 67, 87, 145, 201, 335, 435, 1005, 1943, 5829, 9715

Step-4: Factors of 29164

List of positive integer factors of 29164 that divides 29145 without a remainder.

1, 2, 4, 23, 46, 92, 317, 634, 1268, 7291, 14582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29145 and 29164. The biggest common factor number is the GCF number.
So the greatest common factor 29145 and 29164 is 1.

Also check out the Least Common Multiple of 29145 and 29164