What is the Greatest Common Factor of 29155 and 29170?

Greatest common factor (GCF) of 29155 and 29170 is 5.

GCF(29155,29170) = 5

We will now calculate the prime factors of 29155 and 29170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29155 and 29170.

How to find the GCF of 29155 and 29170?

We will first find the prime factorization of 29155 and 29170. After we will calculate the factors of 29155 and 29170 and find the biggest common factor number .

Step-1: Prime Factorization of 29155

Prime factors of 29155 are 5, 7, 17. Prime factorization of 29155 in exponential form is:

29155 = 5¹ × 7³ × 17¹

Step-2: Prime Factorization of 29170

Prime factors of 29170 are 2, 5, 2917. Prime factorization of 29170 in exponential form is:

29170 = 2¹ × 5¹ × 2917¹

Step-3: Factors of 29155

List of positive integer factors of 29155 that divides 29155 without a remainder.

1, 5, 7, 17, 35, 49, 85, 119, 245, 343, 595, 833, 1715, 4165, 5831

Step-4: Factors of 29170

List of positive integer factors of 29170 that divides 29155 without a remainder.

1, 2, 5, 10, 2917, 5834, 14585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29155 and 29170. The biggest common factor number is the GCF number.
So the greatest common factor 29155 and 29170 is 5.

Also check out the Least Common Multiple of 29155 and 29170