What is the Greatest Common Factor of 29800 and 29812?

Greatest common factor (GCF) of 29800 and 29812 is 4.

GCF(29800,29812) = 4

We will now calculate the prime factors of 29800 and 29812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29800 and 29812.

How to find the GCF of 29800 and 29812?

We will first find the prime factorization of 29800 and 29812. After we will calculate the factors of 29800 and 29812 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 29812

Prime factors of 29812 are 2, 29, 257. Prime factorization of 29812 in exponential form is:

29812 = 2² × 29¹ × 257¹

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 29812

List of positive integer factors of 29812 that divides 29800 without a remainder.

1, 2, 4, 29, 58, 116, 257, 514, 1028, 7453, 14906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29800 and 29812. The biggest common factor number is the GCF number.
So the greatest common factor 29800 and 29812 is 4.

Also check out the Least Common Multiple of 29800 and 29812