What is the Greatest Common Factor of 29015 and 29035?

Greatest common factor (GCF) of 29015 and 29035 is 5.

GCF(29015,29035) = 5

We will now calculate the prime factors of 29015 and 29035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29015 and 29035.

How to find the GCF of 29015 and 29035?

We will first find the prime factorization of 29015 and 29035. After we will calculate the factors of 29015 and 29035 and find the biggest common factor number .

Step-1: Prime Factorization of 29015

Prime factors of 29015 are 5, 7, 829. Prime factorization of 29015 in exponential form is:

29015 = 5¹ × 7¹ × 829¹

Step-2: Prime Factorization of 29035

Prime factors of 29035 are 5, 5807. Prime factorization of 29035 in exponential form is:

29035 = 5¹ × 5807¹

Step-3: Factors of 29015

List of positive integer factors of 29015 that divides 29015 without a remainder.

1, 5, 7, 35, 829, 4145, 5803

Step-4: Factors of 29035

List of positive integer factors of 29035 that divides 29015 without a remainder.

1, 5, 5807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29015 and 29035. The biggest common factor number is the GCF number.
So the greatest common factor 29015 and 29035 is 5.

Also check out the Least Common Multiple of 29015 and 29035