What is the Greatest Common Factor of 29505 and 29510?

Greatest common factor (GCF) of 29505 and 29510 is 5.

GCF(29505,29510) = 5

We will now calculate the prime factors of 29505 and 29510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29505 and 29510.

How to find the GCF of 29505 and 29510?

We will first find the prime factorization of 29505 and 29510. After we will calculate the factors of 29505 and 29510 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 29510

Prime factors of 29510 are 2, 5, 13, 227. Prime factorization of 29510 in exponential form is:

29510 = 2¹ × 5¹ × 13¹ × 227¹

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 29510

List of positive integer factors of 29510 that divides 29505 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 227, 454, 1135, 2270, 2951, 5902, 14755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29505 and 29510. The biggest common factor number is the GCF number.
So the greatest common factor 29505 and 29510 is 5.

Also check out the Least Common Multiple of 29505 and 29510