What is the Greatest Common Factor of 29138 and 29145?

Greatest common factor (GCF) of 29138 and 29145 is 1.

GCF(29138,29145) = 1

We will now calculate the prime factors of 29138 and 29145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29138 and 29145.

How to find the GCF of 29138 and 29145?

We will first find the prime factorization of 29138 and 29145. After we will calculate the factors of 29138 and 29145 and find the biggest common factor number .

Step-1: Prime Factorization of 29138

Prime factors of 29138 are 2, 17, 857. Prime factorization of 29138 in exponential form is:

29138 = 2¹ × 17¹ × 857¹

Step-2: 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-3: Factors of 29138

List of positive integer factors of 29138 that divides 29138 without a remainder.

1, 2, 17, 34, 857, 1714, 14569

Step-4: Factors of 29145

List of positive integer factors of 29145 that divides 29138 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29138 and 29145. The biggest common factor number is the GCF number.
So the greatest common factor 29138 and 29145 is 1.

Also check out the Least Common Multiple of 29138 and 29145