What is the Greatest Common Factor of 29145 and 29157?

Greatest common factor (GCF) of 29145 and 29157 is 3.

GCF(29145,29157) = 3

We will now calculate the prime factors of 29145 and 29157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29145 and 29157.

How to find the GCF of 29145 and 29157?

We will first find the prime factorization of 29145 and 29157. After we will calculate the factors of 29145 and 29157 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 29157

Prime factors of 29157 are 3, 9719. Prime factorization of 29157 in exponential form is:

29157 = 3¹ × 9719¹

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 29157

List of positive integer factors of 29157 that divides 29145 without a remainder.

1, 3, 9719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29145 and 29157. The biggest common factor number is the GCF number.
So the greatest common factor 29145 and 29157 is 3.

Also check out the Least Common Multiple of 29145 and 29157