What is the Greatest Common Factor of 29505 and 29517?

Greatest common factor (GCF) of 29505 and 29517 is 3.

GCF(29505,29517) = 3

We will now calculate the prime factors of 29505 and 29517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29505 and 29517.

How to find the GCF of 29505 and 29517?

We will first find the prime factorization of 29505 and 29517. After we will calculate the factors of 29505 and 29517 and find the biggest common factor number .

Step-1: Prime Factorization of 29505

Prime factors of 29505 are 3, 5, 7, 281. Prime factorization of 29505 in exponential form is:

29505 = 3¹ × 5¹ × 7¹ × 281¹

Step-2: Prime Factorization of 29517

Prime factors of 29517 are 3, 9839. Prime factorization of 29517 in exponential form is:

29517 = 3¹ × 9839¹

Step-3: Factors of 29505

List of positive integer factors of 29505 that divides 29505 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 281, 843, 1405, 1967, 4215, 5901, 9835

Step-4: Factors of 29517

List of positive integer factors of 29517 that divides 29505 without a remainder.

1, 3, 9839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29505 and 29517. The biggest common factor number is the GCF number.
So the greatest common factor 29505 and 29517 is 3.

Also check out the Least Common Multiple of 29505 and 29517