What is the Greatest Common Factor of 29800 and 29815?

Greatest common factor (GCF) of 29800 and 29815 is 5.

GCF(29800,29815) = 5

We will now calculate the prime factors of 29800 and 29815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29800 and 29815.

How to find the GCF of 29800 and 29815?

We will first find the prime factorization of 29800 and 29815. After we will calculate the factors of 29800 and 29815 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 29815

Prime factors of 29815 are 5, 67, 89. Prime factorization of 29815 in exponential form is:

29815 = 5¹ × 67¹ × 89¹

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 29815

List of positive integer factors of 29815 that divides 29800 without a remainder.

1, 5, 67, 89, 335, 445, 5963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29800 and 29815. The biggest common factor number is the GCF number.
So the greatest common factor 29800 and 29815 is 5.

Also check out the Least Common Multiple of 29800 and 29815