What is the Greatest Common Factor of 29500 and 29505?

Greatest common factor (GCF) of 29500 and 29505 is 5.

GCF(29500,29505) = 5

We will now calculate the prime factors of 29500 and 29505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29500 and 29505.

How to find the GCF of 29500 and 29505?

We will first find the prime factorization of 29500 and 29505. After we will calculate the factors of 29500 and 29505 and find the biggest common factor number .

Step-1: Prime Factorization of 29500

Prime factors of 29500 are 2, 5, 59. Prime factorization of 29500 in exponential form is:

29500 = 2² × 5³ × 59¹

Step-2: 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-3: Factors of 29500

List of positive integer factors of 29500 that divides 29500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 125, 236, 250, 295, 500, 590, 1180, 1475, 2950, 5900, 7375, 14750

Step-4: Factors of 29505

List of positive integer factors of 29505 that divides 29500 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29500 and 29505. The biggest common factor number is the GCF number.
So the greatest common factor 29500 and 29505 is 5.

Also check out the Least Common Multiple of 29500 and 29505