What is the Greatest Common Factor of 29900 and 29908?

Greatest common factor (GCF) of 29900 and 29908 is 4.

GCF(29900,29908) = 4

We will now calculate the prime factors of 29900 and 29908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29900 and 29908.

How to find the GCF of 29900 and 29908?

We will first find the prime factorization of 29900 and 29908. After we will calculate the factors of 29900 and 29908 and find the biggest common factor number .

Step-1: Prime Factorization of 29900

Prime factors of 29900 are 2, 5, 13, 23. Prime factorization of 29900 in exponential form is:

29900 = 2² × 5² × 13¹ × 23¹

Step-2: Prime Factorization of 29908

Prime factors of 29908 are 2, 7477. Prime factorization of 29908 in exponential form is:

29908 = 2² × 7477¹

Step-3: Factors of 29900

List of positive integer factors of 29900 that divides 29900 without a remainder.

1, 2, 4, 5, 10, 13, 20, 23, 25, 26, 46, 50, 52, 65, 92, 100, 115, 130, 230, 260, 299, 325, 460, 575, 598, 650, 1150, 1196, 1300, 1495, 2300, 2990, 5980, 7475, 14950

Step-4: Factors of 29908

List of positive integer factors of 29908 that divides 29900 without a remainder.

1, 2, 4, 7477, 14954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29900 and 29908. The biggest common factor number is the GCF number.
So the greatest common factor 29900 and 29908 is 4.

Also check out the Least Common Multiple of 29900 and 29908