What is the Greatest Common Factor of 29745 and 29751?

Greatest common factor (GCF) of 29745 and 29751 is 3.

GCF(29745,29751) = 3

We will now calculate the prime factors of 29745 and 29751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29745 and 29751.

How to find the GCF of 29745 and 29751?

We will first find the prime factorization of 29745 and 29751. After we will calculate the factors of 29745 and 29751 and find the biggest common factor number .

Step-1: Prime Factorization of 29745

Prime factors of 29745 are 3, 5, 661. Prime factorization of 29745 in exponential form is:

29745 = 3² × 5¹ × 661¹

Step-2: Prime Factorization of 29751

Prime factors of 29751 are 3, 47, 211. Prime factorization of 29751 in exponential form is:

29751 = 3¹ × 47¹ × 211¹

Step-3: Factors of 29745

List of positive integer factors of 29745 that divides 29745 without a remainder.

1, 3, 5, 9, 15, 45, 661, 1983, 3305, 5949, 9915

Step-4: Factors of 29751

List of positive integer factors of 29751 that divides 29745 without a remainder.

1, 3, 47, 141, 211, 633, 9917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29745 and 29751. The biggest common factor number is the GCF number.
So the greatest common factor 29745 and 29751 is 3.

Also check out the Least Common Multiple of 29745 and 29751