What is the Greatest Common Factor of 29500 and 29518?

Greatest common factor (GCF) of 29500 and 29518 is 2.

GCF(29500,29518) = 2

We will now calculate the prime factors of 29500 and 29518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29500 and 29518.

How to find the GCF of 29500 and 29518?

We will first find the prime factorization of 29500 and 29518. After we will calculate the factors of 29500 and 29518 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 29518

Prime factors of 29518 are 2, 14759. Prime factorization of 29518 in exponential form is:

29518 = 2¹ × 14759¹

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 29518

List of positive integer factors of 29518 that divides 29500 without a remainder.

1, 2, 14759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29500 and 29518. The biggest common factor number is the GCF number.
So the greatest common factor 29500 and 29518 is 2.

Also check out the Least Common Multiple of 29500 and 29518