What is the Greatest Common Factor of 29900 and 29909?

Greatest common factor (GCF) of 29900 and 29909 is 1.

GCF(29900,29909) = 1

We will now calculate the prime factors of 29900 and 29909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29900 and 29909.

How to find the GCF of 29900 and 29909?

We will first find the prime factorization of 29900 and 29909. After we will calculate the factors of 29900 and 29909 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 29909

Prime factors of 29909 are 11, 2719. Prime factorization of 29909 in exponential form is:

29909 = 11¹ × 2719¹

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 29909

List of positive integer factors of 29909 that divides 29900 without a remainder.

1, 11, 2719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29900 and 29909. The biggest common factor number is the GCF number.
So the greatest common factor 29900 and 29909 is 1.

Also check out the Least Common Multiple of 29900 and 29909