What is the Greatest Common Factor of 29800 and 29804?

Greatest common factor (GCF) of 29800 and 29804 is 4.

GCF(29800,29804) = 4

We will now calculate the prime factors of 29800 and 29804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29800 and 29804.

How to find the GCF of 29800 and 29804?

We will first find the prime factorization of 29800 and 29804. After we will calculate the factors of 29800 and 29804 and find the biggest common factor number .

Step-1: Prime Factorization of 29800

Prime factors of 29800 are 2, 5, 149. Prime factorization of 29800 in exponential form is:

29800 = 2³ × 5² × 149¹

Step-2: Prime Factorization of 29804

Prime factors of 29804 are 2, 7451. Prime factorization of 29804 in exponential form is:

29804 = 2² × 7451¹

Step-3: Factors of 29800

List of positive integer factors of 29800 that divides 29800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 149, 200, 298, 596, 745, 1192, 1490, 2980, 3725, 5960, 7450, 14900

Step-4: Factors of 29804

List of positive integer factors of 29804 that divides 29800 without a remainder.

1, 2, 4, 7451, 14902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29800 and 29804. The biggest common factor number is the GCF number.
So the greatest common factor 29800 and 29804 is 4.

Also check out the Least Common Multiple of 29800 and 29804