What is the Greatest Common Factor of 29131 and 29145?

Greatest common factor (GCF) of 29131 and 29145 is 1.

GCF(29131,29145) = 1

We will now calculate the prime factors of 29131 and 29145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29131 and 29145.

How to find the GCF of 29131 and 29145?

We will first find the prime factorization of 29131 and 29145. After we will calculate the factors of 29131 and 29145 and find the biggest common factor number .

Step-1: Prime Factorization of 29131

Prime factors of 29131 are 29131. Prime factorization of 29131 in exponential form is:

29131 = 29131¹

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 29131

List of positive integer factors of 29131 that divides 29131 without a remainder.

Step-4: Factors of 29145

List of positive integer factors of 29145 that divides 29131 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 29131 and 29145. The biggest common factor number is the GCF number.
So the greatest common factor 29131 and 29145 is 1.

Also check out the Least Common Multiple of 29131 and 29145