What is the Greatest Common Factor of 29488 and 29500?

Greatest common factor (GCF) of 29488 and 29500 is 4.

GCF(29488,29500) = 4

We will now calculate the prime factors of 29488 and 29500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29488 and 29500.

How to find the GCF of 29488 and 29500?

We will first find the prime factorization of 29488 and 29500. After we will calculate the factors of 29488 and 29500 and find the biggest common factor number .

Step-1: Prime Factorization of 29488

Prime factors of 29488 are 2, 19, 97. Prime factorization of 29488 in exponential form is:

29488 = 2⁴ × 19¹ × 97¹

Step-2: 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-3: Factors of 29488

List of positive integer factors of 29488 that divides 29488 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 97, 152, 194, 304, 388, 776, 1552, 1843, 3686, 7372, 14744

Step-4: Factors of 29500

List of positive integer factors of 29500 that divides 29488 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29488 and 29500. The biggest common factor number is the GCF number.
So the greatest common factor 29488 and 29500 is 4.

Also check out the Least Common Multiple of 29488 and 29500