What is the Greatest Common Factor of 29145 and 29158?

Greatest common factor (GCF) of 29145 and 29158 is 1.

GCF(29145,29158) = 1

We will now calculate the prime factors of 29145 and 29158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29145 and 29158.

How to find the GCF of 29145 and 29158?

We will first find the prime factorization of 29145 and 29158. After we will calculate the factors of 29145 and 29158 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 29158

Prime factors of 29158 are 2, 61, 239. Prime factorization of 29158 in exponential form is:

29158 = 2¹ × 61¹ × 239¹

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 29158

List of positive integer factors of 29158 that divides 29145 without a remainder.

1, 2, 61, 122, 239, 478, 14579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29145 and 29158. The biggest common factor number is the GCF number.
So the greatest common factor 29145 and 29158 is 1.

Also check out the Least Common Multiple of 29145 and 29158